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WAEC Mathematics 1998 Question 34

Question 34

Angles and Polygons

If the exterior angles of a quadrilateral are y°, (y + 5)°, (y + 10)° and (y + 25)°, find y.

  1. A.10°
  2. B.20°
  3. C.40°
  4. D.60°
  5. E.80°.
Show the answer and explanation

Answer: E (80°.)

Explanation

Exterior angles of any polygon add to 360°: 4y + 40 = 360, so y = 80°.