Question 24
Angles and PolygonsIn the diagram below, QRS is a straight line, QP//RT, ∠PRQ = 56°, ∠QPR = 84° and ∠TRS = x°. Find x.
- A.28
- B.40
- C.44
- D.84
- E.124
Show the answer and explanation
Answer: B (40)
Explanation
In triangle PQR, ∠PQR = 180° − 56° − 84° = 40°. Since QP is parallel to RT, ∠TRS = ∠PQR = 40° (corresponding angles).