Question 26
Angles and PolygonsIn the diagram above, PQRS is a parallelogram. Find the value of ∠SQR.
- A.30°
- B.50°
- C.80°
- D.100°
Show the answer and explanation
Answer: D (100°)
Explanation
Angle PQS = 50° (vertically opposite the 50°), and angle SPQ = 30° (alternate to the 30° at S, as PQ ‖ TR). So angle PSQ = 180° − 80° = 100°, and SQR = PSQ = 100° (alternate angles, PS ‖ QR).