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

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‘O’ is the centre; ∠POR = 120° 

∠PQR = ∠POR [∵ angle made by an arc at the centre is, twice the angle made by it on the remaining part]

∠PSR = 1/2 [Angle made by \(\widehat {PQR}\) at the centre]

∠PSR = 1/2 [360° – 120°] from the fig

= 1/2 x 240 = 120°

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