WAEC Mathematics 1997 Question 26

Question 26

Angles and Polygons

The interior angles of a pentagon are 126°, 114°, y, 92° and 83°. Find the value of y.

  1. A.85°
  2. B.95°
  3. C.105°
  4. D.115°
  5. E.125°.
Show the answer and explanation

Answer: E (125°.)

Explanation

Angles of a pentagon add to (5 − 2) × 180° = 540°. y = 540 − (126 + 114 + 92 + 83) = 125°.