WAEC Mathematics 2005 Question 16

Question 16

Angles and Polygons

In the diagram, PQ and MN are straight lines. Find the value of x.

Diagram for this question
  1. A.13°
  2. B.17°
  3. C.28°
  4. D.30°
Show the answer and explanation

Answer: B (17°)

Explanation

Angles on the straight line MN add to 180°: 2(x + 30) + 86 = 180, so 2x = 34 and x = 17°.