Q14 of 22 Page 126

In the adjoining figure, if ‘O’ is the centre of circle and PQ is a diameter, then the value of x is

By the theorem:-


The angle formed at the centre of a circle by an arc, is double of the angle formed by the same arc at any point on circle.


∠POR = 2 ∠PSR


⇒ ∠PSR = 70°


As PQ is diameter, angle subtended by the diagonal at any point on the circle is equal to 90°


⇒ x = 90 – 70 = 20°

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