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WAEC Mathematics 2021 Question 15

Question 15

Triangles and Quadrilaterals

In the diagram, ∠ABC and ∠BCD are right angles, ∠BAD = t and ∠EDF = 70°. Find the value of t.

Diagram for this question
  1. A.70°
  2. B.165°
  3. C.140°
  4. D.110°
Show the answer and explanation

Answer: D (110°)

Explanation

∠ADC = ∠EDF = 70° (vertically opposite). AB ∥ CD because both are perpendicular to BC, so t + 70° = 180° and t = 110°.