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WAEC Mathematics 2008 Question 21

Question 21

Angles and Polygons

In the figure shown, PQS is a straight line. What is the value of ∠PRQ?

Diagram for this question
  1. A.128°
  2. B.108°
  3. C.98°
  4. D.78°
Show the answer and explanation

Answer: D (78°)

Explanation

The exterior angle RQS (148°) equals the sum of the two opposite interior angles: 70° + ∠PRQ = 148°, so ∠PRQ = 78°.