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WAEC Mathematics 2020 Question 19

Question 19

Angles and Polygons

In the diagram, PQ ∥ SR. Find the value of x.

Diagram for this question
  1. A.34
  2. B.46
  3. C.57
  4. D.68
Show the answer and explanation

Answer: B (46)

Explanation

The angle at the middle vertex inside the bend is 360° − 246° = 114°. For parallel lines this angle equals the sum of the other two: x + 68 = 114, so x = 46.