In the given figure, AB is a tangent to a circle with centre O. Prove `angle BPQ = angle PRQ`.

In the given figure,AB is a tangent to a circle with centre.Prove that /_BPQ=/_PRQ If /_BPQ=60^(@), find /_RPQ.

In the figure XY is a tangent to the circle with centre O at A. If angle BAX = 70^(@), angle BAQ = 40^(@) then angle ABQ is equal to :

In the adjacent figure APB is a tangent to the circle with centre 'O' at a point P. If angle QPB = 50^@ then the measure of angle POQ

In the given figure, if TP and TQ are tangents to a circle with centre O, so that angle POQ= 110^(@) , then angle PTQ is

In the given figure, PQ is a tangent at a point R of the circle with centre O. If angle TRQ = 30^(@) , then angle PRS is equal to

In the given figure, AB is diameter of the circle with centre O. AQ, BP and PRQ are tangents. Prove that OP and OQ are perpendicular to each other.