Question 9
Angles and PolygonsIn the diagram, PQ||RT, |RS| = |QS|, ∠QST = 70° and ∠PQW = 55°. Find the size of reflex ∠WQS
- A.235°
- B.290°
- C.305°
- D.325°
Show the answer and explanation
Answer: A (235°)
Explanation
∠PQS = ∠QST = 70° (alternate angles, PQ ∥ RT). The non-reflex ∠WQS = 55° + 70° = 125°, so the reflex angle = 360° − 125° = 235°.