waecmaths question:
In the diagram, PQ and MN are straight lines. Find the value of x
Option A:
13o
Option B:
17o
Option C:
28o
Option D:
30o
waecmaths solution:
$\begin{align} & 2(x+{{30}^{\circ }})+{{66}^{\circ }}={{180}^{\circ }}\text{ }\!\!\{\!\!\text{ Sum of angles on a straight line }\!\!\}\!\!\text{ } \\ & 2{{x}^{\circ }}+{{60}^{\circ }}+{{66}^{\circ }}={{180}^{\circ }} \\ & 2x+{{126}^{\circ }}={{180}^{\circ }} \\ & 2x={{54}^{\circ }} \\ & x={{27}^{\circ }} \\\end{align}$
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