Q. 34.5( 30 Votes )

# In the figure, O is the centre of the circle and ∠POR = 120°. Find ∠PQR and ∠PSR

Answer :

Given, ∠POR = 120°

We know that “Angle subtended at the center is twice the angle subtended at circumference by the same chord”.

∠PQR =

⇒∠PQR =

⇒∠PQR = 60

Now, PQRS is a quadrilateral and angles on the opposite sides in the quadrilateral are supplementary.

∠ PSR = 180-∠ PQR

⇒∠ PSR = 180-60

⇒∠ PSR = 120^{o}

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