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WAEC Mathematics 1999 Question 20

Question 20

Circle Theorems

In the diagram, PQR is a circle with centre O. ∠QPR = 50°, ∠PQO = 30° and ∠ORP = m. Find m.

Diagram for this question
  1. A.20°
  2. B.25°
  3. C.30°
  4. D.50°.
Show the answer and explanation

Answer: A (20°)

Explanation

OP = OQ, so ∠OPQ = 30° and ∠OPR = 50 − 30 = 20°. OP = OR, so ∠ORP = 20°.