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WAEC Mathematics 1996 Question 35

Question 35

Circle Theorems

In the diagram below, KLMN is a cyclic quadrilateral. /KL/ = /KN/, <NKM = 55° and <KML = 40°. Find <LKM

Diagram for this question
  1. A.35°
  2. B.40°
  3. C.45°
  4. D.50°
  5. E.55°
Show the answer and explanation

Answer: C (45°)

Explanation

<KNL = <KML = 40° (same arc KL). KL = KN, so <KLN = 40° too and <LKN = 180° − 80° = 100°. Then <LKM = 100° − 55° = 45°.