UI Post-UTME Mathematics 2014 Question 23

Question 23

Angles and Polygons

The interior angles of a pentagon are x°, (x + 30)°, (2x − 65)°, (x + 110)° and 45°. Find x

  1. A.90
  2. B.108
  3. C.114
  4. D.84
Show the answer and explanation

Answer: D (84)

Explanation

The angles add to 540°: 5x + 120 = 540, so x = 84.