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JAMB Mathematics 2005 Question 25

Question 25

Angles and Polygons

Three straight lines EF, GH and LK intersect at O as shown above. If ∠KOF = 52° and ∠LOH = 85°, calculate the size of ∠EOG.

Diagram for this question
  1. A.26°
  2. B.43°
  3. C.52°
  4. D.85°
Show the answer and explanation

Answer: B (43°)

Explanation

KOL is a straight line, so ∠FOH = 180° − 52° − 85° = 43°. ∠EOG is vertically opposite ∠FOH, so it is 43°.