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GCE Mathematics 1989 Question 33

Question 33

Triangles and Quadrilaterals

In the diagram below, what is the size of angle ACB?

Diagram for this question
  1. A.40°
  2. B.50°
  3. C.60°
  4. D.80°
  5. E.100°
Show the answer and explanation

Answer: C (60°)

Explanation

The 80° angle is vertically opposite ∠ABC, so ∠ABC = 80°. Then ∠ACB = 180° − 40° − 80° = 60°.