Q. 14.5( 292 Votes )

# In Fig. 10.36, A,B and C are three points on a circle with centre O such that ∠ BOC = 30° and∠ AOB = 60°. If D is a point on the circle other than the arc ABC, find ∠ADC.

Answer :

∠AOC = ∠AOB + ∠BOC

= 60° + 30°

= 90°

We know that angle subtended by an arc at the centre is double the angle subtended by it any point on the remaining part of the circle

∠ADC = ∠AOC

= × 90^{o}

= 45^{o}

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