waecmaths question:
In the diagram PQ is parallel to RX, $\angle QPS=105{}^\circ $ and $\angle FEG=50{}^\circ $ . Use the diagram to answer question 44
Find the value of m.
Option A:
130o
Option B:
105o
Option C:
75o
Option D:
55o
waecmaths solution:
$\begin{align} & \angle EFG+\angle GFQ=180{}^\circ \text{ }\!\!\{\!\!\text{ sum of }\angle \text{s on a str}\text{. line }\!\!\}\!\!\text{ } \\ & \angle EFG+105{}^\circ =180{}^\circ \\ & \angle EFG=75{}^\circ \\ & \text{Consider }\vartriangle EFG \\ & \angle EFG+\angle FEG+\angle EGF=180{}^\circ \\ & 75{}^\circ +50{}^\circ +m=180{}^\circ \\ & m=55{}^\circ \\\end{align}$
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