passpadi

2005

Mathematics

JAMB

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

A.

26°

B.

43°

C.

52°

D.

85°

Correct Answer: 43°

Explanation

∠GOK = 85° (vertical opposite angle ∠s) ∠EOG + ∠GOK + ∠KOF = 180 (∠s on a straight line) ∠EOg + 85° + 52° = 180° ∠EOG + 137° = 180° ∠EOG = 43°

∠GOK = 85° (vertical opposite angle ∠s) ∠EOG + ∠GOK + ∠KOF = 180 (∠s on a straight line) ∠EOg + 85° + 52° = 180° ∠EOG + 137° = 180° ∠EOG = 43°
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