A chord AB and a diameter CD of a circle (with center O) intersect each other at a point P (outside the circle) and BP is equal to the radius of the circle. If ∠APC = 35°, then what is the measure of ∠AOC?

If B is the center of a circle and lines AD and CD are tangent segments drawn from an external point D, then which of the following classifications apply to quadrilateral ABCD? (a) Kite (b) Cyclic quadrilateral (c) Rhombus (d) Trapezium

In a parallelogram PQRS, rays PA and SA are the angle bisectors of ∠QPS and ∠RSP respectively. Find the measure of ∠PAS.