In a ΔPMN, S is a point on PM which divides PM in the ratio of 5 : 7 (PS : SM = 5 : 7). The line segment ST is parallel to MN, where T is a point on PN. If MN = 24 cm, then what is the length (in cm) of segment ST?

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.