JAMB Mathematics 2007 Question 41

Question 41

Angles and Polygons

In the parallelogram PQRS above, find angle SQR.

Diagram for this question
  1. A.100°
  2. B.80°
  3. C.50°
  4. D.30°
Show the answer and explanation

Answer: A (100°)

Explanation

∠QSR = 50° (alternate to the 50° at Q). ∠PSR = 180° − 30° = 150°, so ∠SRQ = 30° (co-interior angles). Then ∠SQR = 180° − 50° − 30° = 100°.