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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