Three straight lines EF GH and LK interest at O... - JAMB Mathematics 2005 Question
Three straight lines EF, GH and LK interest at O as shown above. If ∠KOF = 52o and ∠LOH = 85o, calculate the size of ∠EOG.
A
26o
B
43o
C
52o
D
85o
correct option: b
∠GOK = 85o (vertical opposite angle ∠s)
∠EOG + ∠GOK + ∠KOF = 180 (∠s on a straight line)
∠EOg + 85o + 52o = 180o
∠EOG + 137o = 180o
∠EOG = 43o
∠EOG + ∠GOK + ∠KOF = 180 (∠s on a straight line)
∠EOg + 85o + 52o = 180o
∠EOG + 137o = 180o
∠EOG = 43o
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