LIVE Course for free

Rated by 1 million+ students
Get app now
JEE MAIN 2023
JEE MAIN 2023 TEST SERIES
NEET 2023 TEST SERIES
NEET 2023
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
27 views
in Aptitude by (41.0k points)
closed by
In a cyclic quadrilateral PQRS the ∠SPQ = 120° and ∠PQR = 80°, then find the ∠QRS.
1. 80° 
2. 40°
3. 60°
4. 120°

1 Answer

0 votes
by (48.2k points)
selected by
 
Best answer
Correct Answer - Option 3 : 60°

Given:

∠SPQ = 120°

∠PQR = 80°

Formula used:

Sum of opposites angles of cyclic quadrilateral = 180° 

Calculations:

⇒ ∠SPQ + ∠QRS = 180° 

⇒ ∠PQR + ∠RSP = 180° 

⇒ ∠QRS = 180° - ∠SPQ

⇒ ∠QRS = 180° - 120° 

⇒ ∠QRS = 60°

∴ The value of ∠QRS is 60°. 

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...