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JAMB Mathematics 2008 Question 25

Question 25

Angles and Polygons

In the diagram above, PQ//RS. The size of the angle marked x is

Diagram for this question
  1. A.100°
  2. B.80°
  3. C.50°
  4. D.30°
Show the answer and explanation

Answer: B (80°)

Explanation

The two slanting lines and PQ form a triangle with interior angles 50° and 30°. x is the exterior angle at the third corner, so x = 50° + 30° = 80°.