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WAEC Mathematics 2003 Question 16

Question 16

Angles and Polygons

In the diagram, ZM is a straight line. Calculate the value of x.

Diagram for this question
  1. A.27°
  2. B.30°
  3. C.35°
  4. D.37°
Show the answer and explanation

Answer: C (35°)

Explanation

The exterior angle at Y equals the sum of the opposite interior angles: 3x + 14 = 2x + (2x − 21), so x = 35°.