Mathematics
In the given figure, O is the centre of the circle and ∠AOC = 160°. Prove that 3∠y − 2∠x = 140°.

Related Questions
PQRS is a cyclic quadrilateral. Given ∠QPS = 73°, ∠PQS = 55° and ∠PSR = 82°, calculate ∠QRS, ∠RQS and ∠PRQ.

In the given figure, O is the centre of the circle and ΔABC is equilateral. Find :
(i) ∠BDC
(ii) ∠BEC.

In the given figure, O is the centre of the circle. If ∠CBD = 25° and ∠APB = 120°, find ∠ADB.

In the given figure, O is the centre of the circle, ∠BAD = 75° and chord BC = chord CD. Find : (i) ∠BOC (ii) ∠OBD (iii) ∠BCD
