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WAEC Mathematics 2002 Question 44

Question 44

Triangles and Quadrilaterals

In the diagram, QR||TP and ∠WPT = 88°. Find the value of x.

Diagram for this question
  1. A.92°
  2. B.68°
  3. C.67°
  4. D.23°
Show the answer and explanation

Answer: C (67°)

Explanation

Through W draw a line parallel to QR. The angle QWP on the left is x + (180 − 88) = x + 92, and the marked reflex angle 3x completes it to 360°: 3x + x + 92 = 360, so x = 67°.