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JAMB Mathematics 1980 Question 45

Question 45

Triangles and Quadrilaterals

The angles marked in the figure above are measured in degrees. Find x

Diagram for this question
  1. A.45°
  2. B.90°
  3. C.60°
  4. D.15°
  5. E.30°.
Show the answer and explanation

Answer: E (30°.)

Explanation

The marked angles are the exterior angles of the pentagon, which add up to 360°: x + 2x + x + 5x + 3x = 12x = 360°, so x = 30°.