P and Q are the centers of two circles intersecting at points A and B. PA produced on both sides meets the circles at C and D. If ∠CPB = 100°, then find the value of x, where x is the measure of angle BQD.

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.