Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
1.8k views
in Lines and Angles by (36.4k points)
closed by

In Fig., lines PQ and RS intersect each other at point O. If ∠POR : ∠ROQ = 5 : 7, find all the angles.

1 Answer

+1 vote
by (38.0k points)
selected by
 
Best answer

Given,

∠POR and ∠ROP is linear pair

∠POR + ∠ROP = 180°

Given that,

∠POR = ∠ROQ = 5: 7

Therefore,

∠POR = \(\frac{5}{12}\) × 180° = 75°

Similarly,

∠ROQ = 125°

Now,

∠POS = ∠ROQ = 125°(Vertically opposite angles)

Therefore,

∠SOQ = ∠POR = 75°(Vertically opposite angles)

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

...