In the given figure, ΔQPS ≅ ΔSRQ. Find the measure of ∠PSR.  

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
View all SSC CGL Papers >
  1. 64°
  2. 74°
  3. 52°
  4. 82°

Answer (Detailed Solution Below)

Option 2 : 74°
super-pass-live
Free
SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

Download Solution PDF

Given

ΔQPS ≅ ΔSRQ

Concept used

Congruency: Two triangles are said to be congruent if they have all their corresponding sides and angles equal to each other

Calculation

According to the question,

∠P = ∠R
 
⇒ 106 = 2x + 12
 
⇒ 2x = 94
 
⇒ x = 94/2 = 47
 
∠QSR = 180 - 52 - 106 = 22
 
∠PSQ = ∠SQR = 52
 
∠S = 52 + 22 = 74°
 
The answer is 74°.
 

Latest SSC CGL Updates

Last updated on Jul 9, 2025

-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.

-> Bihar Police Admit Card 2025 Out at csbc.bihar.gov.in

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

-> The AP DSC Answer Key 2025 has been released on its official website.

-> The UP ECCE Educator 2025 Notification has been released for 8800 Posts.

More Triangles Questions

Hot Links: rummy teen patti teen patti gold apk download real cash teen patti teen patti joy apk