Question

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Answer 1

Answer:

(a) ∠POR = 136°

(b) ∠PSR = 68°

Step-by-step explanation:

In the given figure, PR is the chord of circle with centre O.

 ∠PTR = 68°

Using theorem : 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.

(a) So, using above theorem, ∠POR = 2 ∠PTR

∠POR = 2 × 68° = 136°

Thus, ∠POR = 136°

(b) Similarly, using above theorem, ∠POR = 2 ∠PSR

136° = 2 ∠PSR

∠PSR = 68°

Thus, ∠PSR = 68°.