WAEC Mathematics 2012 Question 21

Question 21

Circle Theorems

The diagram is a circle centre O. If ∠SPR = 2m and ∠SQR = n, express m in terms of n.

Diagram for this question
  1. A.m = n/2
  2. B.m = 2n
  3. C.m = n − 2
  4. D.m = n + 2
Show the answer and explanation

Answer: A (m = n/2)

Explanation

∠SPR and ∠SQR stand on the same arc SR, so they are equal: 2m = n and m = n/2.