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WAEC Mathematics 2012 Question 47

Question 47

Angles and Polygons

The diagram is a polygon. Find the largest of its interior angles.

Diagram for this question
  1. A.30°
  2. B.100°
  3. C.120°
  4. D.150°
Show the answer and explanation

Answer: D (150°)

Explanation

The marked angles 4x, x, 3x, 2x, 2x are exterior angles, which add to 360°: 12x = 360°, x = 30°. The smallest exterior angle (x = 30°) gives the largest interior angle: 180° − 30° = 150°.