Class 9 | Chapter 10 | Circles | Exercise 10.5 | Question 3

Question 3: In Fig. 10.37, ∠ PQR = 100°, where P, Q and R are points on a circle with centre O. Find ∠ OPR.

Prerequisite

Questions are always easy to solve. All you need to do is visualise the different possibilities and move ahead. Just like, previous questions, we will apply the following theorem in this question.

Theorem 10.8: The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

 
The other very easy concept that has been used to solve this question is Isosceles Triangle Theorem.
 

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