Mathematics
JAMB 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.
-
A.
26o
-
B.
43o
-
C.
52o
-
D.
85o
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
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