JAMB Mathematics 1982 Question 49

Question 49

Angles and Polygons

In the above figure, QRST is a rectangle; PT∥QM, angle P = 60°. Find angle MUR.

Diagram for this question
  1. A.150°
  2. B.30°
  3. C.60°
  4. D.90°
  5. E.120°.
Show the answer and explanation

Answer: A (150°)

Explanation

PT ∥ QM, so <MQR = <P = 60° (corresponding angles). In right triangle QUR, <QUR = 30°, so <MUR = 180° − 30° = 150°.