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JAMB Mathematics 1992 Question 28

Question 28

Angles and Polygons

If in the diagram above, FG is parallel to KM, find the value of x

Diagram for this question
  1. A.75°
  2. B.95°
  3. C.105°
  4. D.125°
Show the answer and explanation

Answer: B (95°)

Explanation

Draw a line through H parallel to FG. HG makes 20° with it and HK makes 180° − 105° = 75° with it (co-interior angles with KM). So x = 20° + 75° = 95°.