In ΔACD, B and E are two points on sides AC and AD respectively, such that BE is parallel to CD. If CD = 9 cm, BE = 6 cm, AB = 5 cm, and ED = 2 cm, what are the measures of the lengths (in cm) of AE and BC respectively?

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.