In the given figure, O is the centre of the circle and SP is a tangent. If ∠SRT = 65°, find the values of x, y and z.

In the given figure, TP and TQ are two tangents to the circle with centre O, touching at A and C respectively. If ∠BCQ = 55° and ∠BAP = 60°, find :

(i) ∠OBA and ∠OBC

(ii) ∠AOC

(iii) ∠ATC

In the given figure, O is the centre of the circle. CE is a tangent to the circle at A. If ∠ABD = 26°, then find :

(i) ∠BDA

(ii) ∠BAD

(iii) ∠CAD

(iv) ∠ODB

(i)

(ii)

(iii)

(iv)

(v)

Find the unknown length x in each of the following figures.