Question on: JAMB Mathematics - 2005

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

26^o

43^o

52^o

85^o

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Correct Option: B

∠GOK = 85^o (vertical opposite angle ∠s)

∠EOG + ∠GOK + ∠KOF = 180 (∠s on a straight line)

∠EOg + 85^o + 52^o = 180^o

∠EOG + 137^o = 180^o

∠EOG = 43^o

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