WAEC Mathematics 1996 Question 29

Question 29

Angles and Polygons

In the diagram below, TRQ is a straight line. Find p, if p = 1/3 (a + b + c).

Diagram for this question
  1. A.45°
  2. B.60°
  3. C.90°
  4. D.120°
  5. E.150
Show the answer and explanation

Answer: A (45°)

Explanation

Angles on a straight line add to 180°: a + b + c + p = 180°. Since a + b + c = 3p, 4p = 180° and p = 45°.