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WAEC Mathematics 2009 Question 21

Question 21

Angles and Polygons

In the diagram, IG is parallel to JE, JÊF = 120° and FĤG = 130°. Find the angle marked t.

Diagram for this question
  1. A.40°
  2. B.70°
  3. C.80°
  4. D.100°
Show the answer and explanation

Answer: B (70°)

Explanation

Draw a line through F parallel to JE and IG. FE makes 180° − 120° = 60° with it and FH makes 180° − 130° = 50° with it (co-interior angles). The angles at F on that straight line add to 180°, so t = 180° − 60° − 50° = 70°.