Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etcGiven that Q S → \overrightarrow{QS} QS bisects ∠ P Q R \angle PQR ∠ PQR, then ∠ P Q S ≅ ∠ S Q R \angle PQS\cong \angle SQR ∠ PQS ≅ ∠ SQR so: m ∠ P Q S = m ∠ S Q R m\angle PQS=m\angle SQR m ∠ PQS = m ∠ SQR. Substitute given expressions: 3 x = 7 x − 20 3x=7x-20 3 x = 7 x − 20. − 4 x = − 20-4x=-20 − 4 x = − ...23 ago 2022 ... answer: If qs bisects pat, sqt= (8x-25), pqt=(9x+34) and sqr= 112 find each measure, answer: c. the third graph.The answer is 4, I am verifying!!! Hi so um I'm literally saying this because I don't know how to do this math problem. Find the Value of x if QS bisects <PQR and m<PQR = 82. 10x + 1 = 42 (42 because it's half of 82 just like PQS is in …S is the midpoint of PR given. PS = RS definition of midpoint. QS = SQ reflexive. QS is the altitude given. QS is perpendicular definition of altitude. to PR. Angle QSP and QSR definition of perpendicular; transitive. are both equal right angles. Triangles PQS and RQS LL: leg leg theorem for.Geometry questions and answers; If a ray QT bisects ∠ R Q S ,what will be the measure of one of the resulting angles? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer See Answer See Answer done loading.Sep 2, 2015 · If one angle is 60 and another is 90, the third is 30 because they total 180. If 4x+14 = 30 then. 4x = 16 and. x=4. Upvote • 0 Downvote. Comment • 1. Report. Endy H. what if line qs---> bisects pqt. 27 ago 2023 ... Angle Bisector Property: If QS bisects ∠PQT, then m∠PQS = m∠SQT and m∠PQT = m∠TQS. 2. Angle Sum Property of a Triangle: In triangle PQT ...VIDEO ANSWER: Hello, everyone! So in this question we have to find the value of x. If bisect angle, p, q r is given 82 degrees, so the cure bisects by s. So we can divide this angle into 2. Equal parts o p q s becomes 41 degrees, which is given us 10Perpendicular. lines, rays, or segments that make 4 right angles. Find x so that ray DZ and ray ZP are perpendicular. angle DZQ= 9x+5 and angle QZP= 3x+1. angle DZP=90 degrees. 1.6 Study Guide. 2D figures. Polygon. A closed plane figure made up of line segments.11. 13. 15 Given: QT bisects SP, SP bisects Prove; L-rps 12. 14. Given: ÄïllDC, and BCECE ADCE 1. Given 2. Given 3. Given 4. Corresponding An leswe have angle Peak you are. And the questions, says Qs, are hereby sex it. So what this means is this angle here and this injury here are equal to each other. Let me write that out. So measurements of angle P Que ass is equal to the measurement of Ingle of Ingle s Q r. And these two English right here add up to make this big angle right here.1 ott 2021 ... If you draw out angle PQT and ray QS you can see that angle PQS is congruent to angle SQT. Because of the definition of angle bisector. This ...Ray PQ and ray PR are perpendicular to each other. Points B and A are in the interior and exterior of ∠ Q P R respectively. Ray PB and ray PA are perpendicular to each other. D is in the interior of ∠ABC, m∠ABD=63°, and m∠DBC=23°. 86°. m∠PQS= (3x−3)° and m∠RQS= (x+19)°. Find the value of x. 41. Study with Quizlet and memorize flashcards containing terms like QS bisects ∠PQR, m∠PQS= (4y−10)∘, and m∠SQR= (2y+10)∘. Find m∠PQR.,If ray QS bisects angle PQT, m angle SQT = (8-25) degrees, m angle PQT If QS bisects PQT, SQT= (8x- 25),PQT= (9x+34), and SQR=112, find each measure." Determine math questions; Deal with math equations; Download full solution; Explain mathematic; Get the best Homework key;Answer. Correct answers: 3 question: If QS bisects PQT, m SQT = (8x – 25)° , m PQT = (9x + 34)° , and m SQR = 112°, find each measure.Click here 👆 to get an answer to your question ️ Per: Homework 4: Angle Addition Postulate ** This is a 2-page document! ** 2 3 1. Use the diagram below…If ray QS bisects angle PQT, m angle SQT = (8-25) degrees, m angle PQT If QS bisects PQT, SQT= (8x- 25),PQT= (9x+34), and SQR=112, find each measure." Determine math questions; Deal with math equations; Download full solution; Explain mathematic; Get the best Homework key;1 Expert Answer Best Newest Oldest Raymond B. answered • 09/08/22 Tutor 5 (2) Math, microeconomics or criminal justice See tutors like this 2 (8x-25) = 9x+34 16x …The line that divides is called the "bisector". If Ray QS bisects angle PQR, m of angle PQS=7x-6 and m of angle SQR =4x+15, find m of angle PQT. Since it is mentioned that ray QS bisects the angle PQR, it is understood that the m of angle of PQT is 4x+15. It is because as metioned earlier, to bisect angles or lines, it means dividing into 2 ...1 BELL WORK 12 September 1) If (𝑄𝑆) ⃗ bisects < PQT, m<SQT= (8x-25)°, m< PQT=(9x+34)°, and m<SQR= 112°, find each measure. 2) If <CDE is a straight angle, ...If QS bisects PQT, SQT= 8x-25, PQT= 9x+34, and SQR=112 degrees, find each measureALGEBRA In the figure QP and QR are opposite rays. QS bisects <PQT. 1. If m/PQT. -. 60 and m/ ...The statement "m∠PQT is 9" is false.In the given scenario, ray QS bisects ∠PQR. This means that ∠PQS and ∠SQR are equal in measure because they are the two halves of the same angle. Let's denote the measure of ∠PQS as (7x - 6)° and the measure of ∠SQR as (4x + 15)°.PT is the bisector of ∠P and QR is extended to S . Prove that ∠PQR+∠PRS=2∠PTR . Login. Study Materials. NCERT Solutions. NCERT Solutions For Class 12. NCERT Solutions For Class 12 Physics; NCERT Solutions For Class 12 …Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent? AAS. SSS. SAS. HL. D. In ΔXYZ, m∠X = 90° and m∠Y = 30°. In ΔTUV, m∠U = 30° and m∠V = 60°.Ex 6.3, 1 In the given figure, sides QP and RQ of ΔPQR are produced to points S and T respectively. If ∠SPR = 135° and ∠PQT = 110°, find ∠PRQ. Since TR is a line ∠ PQT + ∠ PQR = 180° 110° + ∠ PQR = 180° ∠ PQR = 180° – 110° ∠ PQR = 70° Since QS is a line ∠ SPR + ∠ QPR = 180So the measure of angle SQT should be 71. Therefore since QS bisects PQR, the measure of angle PQS should also be 71. The measure of PQT should be double that which makes it 142. I'm not positive that this is all the problem is looking for, but I think that's most of it. Hope this helps!Nov 20, 2017 · S is the midpoint of PR given. PS = RS definition of midpoint. QS = SQ reflexive. QS is the altitude given. QS is perpendicular definition of altitude. to PR. Angle QSP and QSR definition of perpendicular; transitive. are both equal right angles. Triangles PQS and RQS LL: leg leg theorem for. Solution for Line QS bisects ∠PQT, and line QP and line QR are opposite rays. If m∠PQS = 3x +13 and m∠SQT = 6x - 2, find m∠PQT.Jul 21, 2023 · p q r मध्ये ∠ p q r = 90 ∘, p q = 12, q r = 5 आणि qs ही pr ची मध्यगा असेल तर qs काढा. 03:55 View Solution QS rightarrow bisects angle PQT. 1. If m angle PQT = 60 and m angle PQS = 4x + 14, find the value of x. 2. If m angle PQS = 3x + 13 and m angle SQT = 6x - 2, find m angle PQT. In the figure BA rightarrow BC rightarrow are opposite rays. BF rightarrow bisects angle CBE. 3. If m angle EBF = 6x + 4 and m angle CBF = 7x - 2, find m angle EBF. 4. Meaning of: Q S → \overrightarrow{QS} QS bisect ∠ P G R \angle PGR ∠ PGR is that S V → \overrightarrow{SV} S V divide angle ∠ R S T \angle RST ∠ RST into two equal angles, ∠ P Q S \angle PQS ∠ PQS and ∠ R Q S \angle RQS ∠ RQS.VIDEO ANSWER: Hello, everyone! So in this question we have to find the value of x. If bisect angle, p, q r is given 82 degrees, so the cure bisects by s. So we can divide this angle into 2. Equal parts o p q s becomes 41 degrees, which is given us 10Line QS bisects ∠PQT, and line QP and line QR are opposite rays. If m∠PQT = 60 and m∠PQS = 4x + 14, find the value of x. arrow_forward. Find the angle θ between u=2i-3j+6k and v = 2i + 5j - k. arrow_forward. Find the angle in …Did you know that when a line QS bisects an angle PQT, it means that it divides the angle into two equal halves? In this case, if ∠SQT measures (8x-25)° and ∠PQT measures (9x+34)°, we can find the measure of ∠PQT by setting the two angles equal to each other since they are equal halves of the same angle.In the figure ∠ P Q R = 6 0 0 and ray Q T bisects ... Practice important Questions. Class 10 Geometry Chapter 1 to 2. 88 Qs. Related questions. A cubical tank with edge 2 m is filled with water. How many buckets of capacity 1 0 litre can be filled from the tank? (1 m 3 = 1 0 0 0 l). View solution.So the measure of angle SQT should be 71. Therefore since QS bisects PQR, the measure of angle PQS should also be 71. The measure of PQT should be double that which makes it 142. I'm not positive that this is all the problem is looking for, but I think that's most of it. Hope this helps!Top creator on Quizlet Terms in this set (6) QS bisects ∠PQR, m∠PQS= (4y−10)∘, and m∠SQR= (2y+10)∘. Find m∠PQR. 60° Classify ∠CBE as acute, right, straight, or …Solution: Given: ∠SPR = 135° and ∠PQT = 110°. To find: ∠PRQ. We know that if non-common arms of two adjacent angles form a line, then these angles are called linear pair angle and their sum is equal to 180°. If the sum of two adjacent angles is 180° then the two non-common arms of the angles form a line. According to Angle sum ...Click here 👆 to get an answer to your question ️ If Ray QS bisects angle PQT, measure angle SQT = (8x-25), measure angle PQT= (9x+34), and measure angle SQR=…Sep 7, 2023 · If Ray QS bisects angle PQT, then it makes two equal angles. Using this information, we found that X = 118 when we set (8X - 25) = (9X + 34)/2. We then substituted X into the angle formulas to find the measures of angles SQT and PQT and used these to calculate the remaining angles. Correct answers: 1 question: If qs bisects pat, sqt= (8x-25), pqt=(9x+34) and sqr= 112 find each measureAnswer to Solved 1. Given QS bisects ZPQT, m_SQT = (8x – 25)", m_PQT = This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.Aug 30, 2022 · Based on the angle bisector QS, the value of x is 4. How to determine the value of x? The given parameters are: QS bisects <PQT ; QP and QR are opposite rays. m<PQT = 60 <PQS = 4x + 14, Because QS bisects <PQT, then. PQT = 2 * <PQS. This gives. 4x + 14) * 2 = 60. Divide by 4. 2x + 7 = 15. Subtract 7 from both sides. 2x = 8. Divide by 2. x = 4 ... ABD = 24, ABC = 71 9) If QS bisects <PQT, m<SQT = (8x – 25) °, m<PQT = (9x + 34) °, and m<SQR = 112°, find each measure. x = 12; SQT = 71, PQT=142, TQR=41 10). If <CDE is a straight angle, DE bisects <GDH, m<GDE = (8x – 1) °, m<EDH = (6x + 15) °, and m<CDF = 43°, find each measure. X=8, m<GDH = 126, m<FDH=200, m<FDE =137geometry. If R is the midpoint of \overline {QS} QS, RS = 2x - 4, ST = 2x - 4, and RT = 8x - 43, find QS. geometry. Point S is between points R and T on R̅T̅. Use the information to write an equation in terms of x. Then solve the equation and find RS, ST, and RT. a. RS = 2x + 10, ST = x - 4, RT = 21.Answer the questions to prove the following property: If a line bisects the vertex angle of an isosceles triangle, it is the perpendicular bisector of the base. You are given that A B C \triangle A B C A BC is isosceles with base B C ‾ \overline{B C} BC and that A D ‾ \overline{A D} A D bisects ∠ C A B \angle C A B ∠ C A B. tions to be used? d.) What is the hidden questions? e.) What is the number sentence? f.) What is the answer? 1. Jerryl bought 2.5 meter of floor mat at P82.50 a meter. How much change will he receive from his P500 bill? 2. Prince earned P75.25 a week for 15 weeks. She gave P750 to her mother. How much earnings left to Jessel? 3.Step-by-step explanation. Image transcriptions. Q KR LPQR bisects by QS Bisects means to divide into equal parts m<PQs is equal to m /SQR ( 7 X - 6 ) = ( 4 * + 15 ) solve For X : 7X - 6 : 4x+15 7 X- 4x = 15+6 3X = 21 3 3 X = 7 M / PQS = m LS QR= 7 (7) - 6 m/ PQs = m <SQR= 430. NOTe that: RT Intersects by QP M <PQR and m<PQT are supplementary ...1 ott 2021 ... If you draw out angle PQT and ray QS you can see that angle PQS is congruent to angle SQT. Because of the definition of angle bisector. This ...Getting the angles of a triangle. In the following figure if PQ=QS and QR=RS and angle PRS is 100 degrees what is the measure of angle QPS (Ans = 20) Now here is how far i got: Since QR=RS its angles would be same and we know that PRS is 100 so we get. 2a + 100 = 180 so a = 40 so RQS is 40 and QSR is 40 .Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etcThe answer is 4, I am verifying!!! Hi so um I'm literally saying this because I don't know how to do this math problem. Find the Value of x if QS bisects <PQR and m<PQR = 82. 10x + 1 = 42 (42 because it's half of 82 just like PQS is in the half of PQR in the figure.) CORRECT ANSWER!Line AC bisects <BAD, line AC bisects <BCD A. SSS B. SAS C. ASA D. AAS E. 1)Line RS bisects PQ at point R.find RQ if PQ =14 centimeters. 2)line JK Bisects MN at points J. Find MN if JM = 6 3/4 feet. 3) In 4 and 6 state two conclusions that can be drawn from the given data. Given: TQ bisects 4RTP. QS I PT 6. Find the perimeter of trapezoid PQST. 21 S. 28. A: solution of the given problem is below... Q: Are the two triangles congruent? If so, write the congruence statement. ... R Given: PR is 1 bisector of QS A PQT E APST Prove: Allitude Expert Solution. Step by step Solved in 2 steps with 2 images. See solution ...x° and a° are alternate interior angles and they are equal. x = a. And also, y° and b° are alternate interior angles and they are equal. y = b. In (1), replace a by x and b by y. x + y = 290. The correct answer choice is (D). Question 4 : In the figure above, lines a and b are parallel and QS bisects ∠PQR.The values of the angles are;. x = 12°. m∠PQS = 71°. m∠PQT = 142°. m∠TQR = 41°. The reason the above values are correct is as follows:. Question: The part of the question that appears missing as obtained online is as follows;If QS bisects <pqt,m<sqt=(8x-25),m<pqt=(9x+34),and m<sqr=112, find x,m<pqs,m<pqt, and m<tqr. Expert Solution. Trending now This is a popular solution! Correct answers: 3 question: If QS bisects PQT, m SQT = (8x – 25)° , m PQT = (9x + 34)° , and m SQR = 112°, find each measure.The measure of ∠PQT is 142°. The measure of ∠TQR is 41°. Step-by-step explanation: Given information: QS bisects ∠PQT, m∠SQT=(8x-25)°, m∠PQT=(9x+34)° and m∠SQR=112°. QS bisects ∠PQT it means QS divides ∠PQT in two equal parts. .... (1) Substitute the value of each angle. Isolate variable terms. Divide both sides by 7. The ...If Fig. PQRS is a quadrilateral and T and U are respectively points on PS and RS such PQ = RQ. ∠ PQT =∠ RQU and ∠ TQS =∠ UQS . Prove that QT = QU[4 MARKS]QThe exercises are designed to aid your study of mathematics by reinforcing important mathematical skills needed to succeed in the everyday world. The materials are organized by chapter and lesson, with two Study Guide and Intervention worksheets for every lesson in Glencoe Geometry. Always keep your workbook handy.Apr 10, 2007 · Apr 10, 2007. #2. df318 said: Given:RP is congruent to RQ. SP is congruent to SQ. Prove: RT bisects PQ. The short version: points R & S are equidistant from P & Q -> they lie on perpendicular bisector to PQ; two points (R & S) determine a single line -> line RS is the perpendicular bisector to PQ & T belongs to the same line -> RT bisects PQ. Sep 21, 2014 · angle RPQ=54º. triangle PQR is isosceles. angle PRQ=54º. angle RQP=180-54-54=72º. draw diagonal QS. diagonal QS bisects angle RQP. angle RQS=72º/2=36º. angle PSR=angle RQP (opposite angles of a rhombus are equal in measure) angle PSR=72º. In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width. Line QS bisects ∠PQT, and line QP and line QR are opposite rays. If m∠PQS = 3x +13 and m∠SQT = 6x - 2, find m∠PQT.1 BELL WORK 12 September 1) If (𝑄𝑆) ⃗ bisects < PQT, m<SQT= (8x-25)°, m< PQT=(9x+34)°, and m<SQR= 112°, find each measure. 2) If <CDE is a straight angle, ...If ray QS bisects angle PQT, m angle SQT = (8-25) degrees, m angle PQT If QS bisects PQT, SQT= (8x- 25),PQT= (9x+34), and SQR=112, find each measure." Determine math questions; Deal with math equations; Download full solution; Explain mathematic; Get the best Homework key;congruent. First Manuel draws isosceles ∆PQR, and then he adds an auxiliary line that bisects PQR. An incomplete version of Manuel’s proof is shown below. Statements Reasons 1. PQ = RQ 1. Given 2. m PQS = m RQS 2. QS bisects PQR 3. QS = QS 3. Reflexive Property 4. ? 4. 5. m QPS 5. = m QRSGetting the angles of a triangle. In the following figure if PQ=QS and QR=RS and angle PRS is 100 degrees what is the measure of angle QPS (Ans = 20) Now here is how far i got: Since QR=RS its angles would be same and we know that PRS is 100 so we get. 2a + 100 = 180 so a = 40 so RQS is 40 and QSR is 40 .7. If m LMP is 11 degrees more than m NMP and m NML = 137°, find each measurement. 8. If m ABC is a degree than three times m ABD and m DBC = 47°, find each measurement. 9. If QS bisects PQT, m SQT = (8x – 25)°, m PQT = = + 34)°, and m SQR = 112°, find each measurement. 10. If CDE is a straight angle, bisectsCorrect answers: 3 question: If QS bisects PQT, m SQT = (8x – 25)° , m PQT = (9x + 34)° , and m SQR = 112°, find each measure.In geometry, if QS-→ bisects ∠PQT, the measure of ∠PQT can be found by setting the measures of ∡SQT and ∡PQT equal to each other. By setting (8x-25)° equal to (9x+34)° and solving for x, we can determine the value of ∠PQT in degrees. Related Questions Big Ideas Math Geometry: A Common Core Curriculum. 1st Edition • ISBN: 9781608408399 (2 more) Boswell, Larson. 4,072 solutions. Find one counterexample to show that each conjecture is false. The difference of two integers is less than either integer. bisects \angle m \angle PQR. m \angle PQS = 3x; m \angle. Explain why the acute angles in an ...Given the graph below, find MN. Round to the nearest hundredth. (Distance Formula) Find step-by-step Geometry solutions and your answer to the following textbook question: 17. Qs bisects <pqr. Solve for x and find m<pqr M<pqs = 3x ; m< SQR = 5x-20.⎯⎯ ⎯⎯ QS bisects ∠PQT. 1. If m∠PQT = 60 and m∠PQS = 4x + 14, find the value of . x. 4 2. If m∠PQS = 3x + 13 and m∠SQT = 6x - 2, find m∠PQT. Mathematics Geometry Angles If QS−→ bisects ∠PQT . If ∡SQT = (8x−25)° and ∡PQT = (9x+34)° find the measure of ∠PQT asked anonymously 2 answers Since QS−→ bisects ∠PQT, we can set ∡SQT equal to ∡PQT. Therefore, we have: 8x - 25 = 9x + 34 Subtracting 8x from both sides: -25 = x + 34 Subtracting 34 from both sides: -59 = xFollow • 1 Add comment Report 1 Expert Answer Best Newest Oldest Raymond B. answered • 09/08/22 Tutor 5 (2) Math, microeconomics or criminal justice See tutors like this 2 (8x-25) = 9x+34 16x -50 = 9x +34 7x = 84 x = 84/7=12 SQT = 8 (12)-25= 96-25 = 71 degrees PQT = 2 (71) = 142 degrees SQR = 112 degrees Upvote • 0 Downvote Add comment ReportIf Ray QS bisects angle PQT. Then, m∠PQT = m∠SQT + m∠PQS. And m∠SQT = m∠PQS. Therefore, m∠PQT = 2m∠SQT = 2m∠PQS . 1. Find the measure of angle SQT. Given, m∠SQT = (8x-25) …Perpendicular. lines, rays, or segments that make 4 right angles. Find x so that ray DZ and ray ZP are perpendicular. angle DZQ= 9x+5 and angle QZP= 3x+1. angle DZP=90 degrees. 1.6 Study Guide. 2D figures. Polygon. A closed plane figure made up of line segments. View angle postulate answers.odt from MATH MISC at Keiser University, Jacksonville. Practice for Mastery – 9/2/2020 Angle Addition Postulate • If angle MKL=83, angle JKL= 127, angle JKM= 9x-10. FindAug 30, 2022 · Based on the angle bisector QS, the value of x is 4. How to determine the value of x? The given parameters are: QS bisects <PQT ; QP and QR are opposite rays. m<PQT = 60 <PQS = 4x + 14, Because QS bisects <PQT, then. PQT = 2 * <PQS. This gives. 4x + 14) * 2 = 60. Divide by 4. 2x + 7 = 15. Subtract 7 from both sides. 2x = 8. Divide by 2. x = 4 ... An angle that is less than 90 degrees. An angle that is more than 90 degrees, but less than 180 degrees. A ray that divides an angle into two congruent angles. Opposite rays w/ same vertex. 180 degrees. Angles with an equal measure. ray BF bisects <CBE, if m<3 = 4x +10 and m<4 = 5x, find m<4. In the figure ∠ P Q R = 6 0 0 and ray Q T bisects ... 88 Qs. Related questions. A cubical tank with edge 2 m is filled, Jul 21, 2023 · p q r मध्ये ∠ p q r = 90 ∘, p q = 12, q r = 5 आणि qs ही, Solution for 9. If QS bisects ZPQT, MZSQT = (8x – 25)", MZPQT , 20 set 2023 ... If QS = ST, and PS is perpendicular to QT, then we can say ΔQPT, R Given: PR is 1 bisector of QS Prove: A PQT ?APST 41全 82., if QS bisects PQT, m SQT= (8x. If QS bisects angle PQT,mangle PQS=6x2-18 and mangl, An angle that is less than 90 degrees. An angle that is more than 90 degrees, b, Study with Quizlet and memorize flashcards containing terms like 1. RP, Answer the questions to prove the following property: If a line bis, 7. If m LMP is 11 degrees more than m NMP and m NML = 137°, find , Refer to the figure at the right. 1. Name the vertex of ∠4. B 2. Nam, Click here👆to get an answer to your question ️ In the f, The values of the angles are;. x = 12°. m∠PQS = 71°. m∠PQT = 142°. m∠T, (Check out Example 4 from the lesson.) In the figure QP an, ⎯⎯QS bisects ∠PQT. 1. If m∠PQT = 60 and m∠PQS = 4x + 1, draw altitude PS which bisects segment QR. ... QS=SR. tri, Question: Checkpoint QS bisects ∠PQR. Find m∠SQP and m∠PQR. Then te, Given QS bisects ZPQT, m_SQT = (8x - 25)", m_PQT = (9.