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

Mathematics
JAMB 2005

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
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Correct Answer: Option B
Explanation
∠GOK = 85o (vertical opposite angle ∠s)
∠EOG + ∠GOK + ∠KOF = 180 (∠s on a straight line)
∠EOg + 85o + 52o = 180o
∠EOG + 137o = 180o
∠EOG = 43o

There is an explanation video available below.


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Explanation Video

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