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WAEC Mathematics 1995 Question 35

Question 35

Angles and Polygons

In the diagram above, PQ is parallel to TU, ∠PQR = 50°, ∠QRS = 86° and ∠STU = 64°. Calculate the value of x.

Diagram for this question
  1. A.136°
  2. B.120°
  3. C.108°
  4. D.100°
  5. E.96°
Show the answer and explanation

Answer: D (100°)

Explanation

Draw lines through R and S parallel to PQ. Using alternate angles, ∠QRS splits into 50° + 36°, and ∠RST splits into 36° + 64°. So x = 36° + 64° = 100°.