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WAEC Mathematics 2005 Question 9

Question 9

Angles and Polygons

In the diagram, KL//MN, ∠LKP = 30° and ∠NMP = 45°. Find the size of the reflex ∠KPM.

Diagram for this question
  1. A.285°
  2. B.255°
  3. C.225°
  4. D.210°
Show the answer and explanation

Answer: A (285°)

Explanation

The non-reflex angle KPM = 30° + 45° = 75° (alternate angles with a line through P parallel to KL), so the reflex angle = 360 − 75 = 285°.