O is the centre of the circle and ABCD is a cyclic quadrilateral in which AB and DC are parallel. If ∠DAB = 72°, then what is the ratio of ∠ADC to the obtuse ∠DOB?

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.