waecmaths question:
From the diagram, find the value of x
Option A:
80o
Option B:
70o
Option C:
55o
Option D:
35o
waecmaths solution:
$\begin{align} & \text{Produce }GH\text{ to }C\text{ to meet }BE\text{ at point }D \\ & \angle CDE=\angle ABD={{110}^{\circ }}\text{ }\!\!\{\!\!\text{ corresponding }\angle s\} \\ & \angle DGF=\angle CDE={{110}^{\circ }}\text{ }\!\!\{\!\!\text{ corresponding }\angle s\} \\ & x={{180}^{\circ }}-\angle DGF\text{ }\!\!\{\!\!\text{ }\angle s\text{ in a }\vartriangle \text{ }\!\!\}\!\!\text{ } \\ & x={{180}^{\circ }}-{{110}^{\circ }}={{70}^{\circ }} \\\end{align}$
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