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WAEC Mathematics 2010 Question 37

Question 37

Angles and Polygons

In the diagram, ∠ROS = 66° and ∠POQ = 3x. Some construction lines are shown. Calculate the value of x.

Diagram for this question
  1. A.10°
  2. B.11°
  3. C.22°
  4. D.30°
Show the answer and explanation

Answer: B (11°)

Explanation

The construction bisects ∠ROS, so ∠POQ = 66° ÷ 2 = 33°. Then 3x = 33° and x = 11°.