WAEC Mathematics 2021 Question 26

Question 26

Triangles and Quadrilaterals

In the diagram, ΔXYZ is produced to T. If |XY| = |ZY| and ∠XYT = 40°, find ∠XZT.

Diagram for this question
  1. A.110°
  2. B.130°
  3. C.120°
  4. D.140°
Show the answer and explanation

Answer: A (110°)

Explanation

The triangle is isosceles with the 40° angle at Y, so ∠YXZ = ∠YZX = 70°. ∠XZT is on the straight line: 180° − 70° = 110°.