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UI Post-UTME Mathematics 2016 Question 19

Question 19

Angles and Polygons

One angle of an octagon is 65°. The others are equal to each other. Find the value of each.

  1. A.65°
  2. B.56°
  3. C.145°
  4. D.54°
Show the answer and explanation

Answer: C (145°)

Explanation

Interior angles of an octagon add to 6 × 180° = 1080°; (1080 − 65) ÷ 7 = 145°.