Question 16

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Jambmaths question: 

Three straight line EF, GH, and LK intersect at O as shown above. If $\angle KOF={{52}^{o}}$and$\angle LOH={{85}^{o}}$, calculate the size of $\angle EOG$

 

Option A: 

85o

Option B: 

50o

Option C: 

43o

Option D: 

26o

Jamb Maths Solution: 

$\begin{align}  & \angle EOL=\angle KOF={{52}^{o}}\text{    }\!\!\{\!\!\text{ vertically opp}\text{. angles }\!\!\}\!\!\text{ } \\ & \angle LOH+\angle EOL+\angle EOG={{180}^{o}}\text{   }\!\!\{\!\!\text{ angles on a straight line }\!\!\}\!\!\text{ } \\ & \text{8}{{\text{5}}^{o}}+{{52}^{o}}+\angle EOG={{180}^{o}} \\ & \angle EOG={{43}^{o}} \\\end{align}$

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