Question 37
Triangles and QuadrilateralsIn the diagram, PQR is a triangle. |PQ| = |PR|, |PS| = |SQ| and ∠PRS = 50°. What is the size of ∠PSQ?
- A.75°
- B.80°
- C.85°
- D.95°
Show the answer and explanation
Answer: B (80°)
Explanation
PQ = PR, so ∠PQR = 50°. PS = SQ, so ∠SPQ = 50° too, and ∠PSQ = 180 − 50 − 50 = 80°.