Question 19

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waecmaths question: 

From the diagram, find the value of x

Option A: 

80o

Option B: 

70o

Option C: 

55o

Option D: 

35o

waecmaths solution: 

\[\begin{align}  & \text{Produce }GH\text{ to }C\text{ to meet }BE\text{ at point }D \\ & \angle CDE=\angle ABD={{110}^{\circ }}\text{   }\!\!\{\!\!\text{ corresponding }\angle s\} \\ & \angle DGF=\angle CDE={{110}^{\circ }}\text{ }\!\!\{\!\!\text{ corresponding }\angle s\} \\ & x={{180}^{\circ }}-\angle DGF\text{  }\!\!\{\!\!\text{ }\angle s\text{ in a }\vartriangle \text{ }\!\!\}\!\!\text{ } \\ & x={{180}^{\circ }}-{{110}^{\circ }}={{70}^{\circ }} \\\end{align}\]

maths year: