passwella.
Menu

JAMB Mathematics 2003 Question 28

Question 28

Circle Theorems

In the diagram above, O is the centre of the circle, POM is a diameter and ∠MNQ = 42°. Calculate ∠QMP.

Diagram for this question
  1. A.42°
  2. B.48°
  3. C.132°
  4. D.138°
Show the answer and explanation

Answer: B (48°)

Explanation

∠MPQ = ∠MNQ = 42° (angles in the same segment), and ∠MQP = 90° (angle in a semicircle). So ∠QMP = 180° − 90° − 42° = 48°.