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Three straight lines EF, GH and LK interest at O as shown above. If ∠KOF…

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.

A.
26^o
B.
43^o
C.
52^o
D.
85^o

Correct Answer: Option B

Explanation

∠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