2017 · Q93
In the figure given below, PQRS is a parallelogram. PA bisects ∠ P and SA bisects ∠ S. What is ∠ PAS equal to ?
Elementary MathematicsQuadrilaterals and Polygons
- A60°
- B75°
- C90°
- D100°
Explanation
In parallelogram PQRS, adjacent angles sum to 180°: ∠P + ∠S = 180°. The bisectors meet at A with ∠PAS = 180° − (∠P + ∠S)/2 = 180° − 90° = 90°: option C.