Question 16

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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: 

$\begin{align}  & 2(x+{{30}^{\circ }})+{{66}^{\circ }}={{180}^{\circ }}\text{     }\!\!\{\!\!\text{ Sum of angles on a straight line }\!\!\}\!\!\text{ } \\ & 2{{x}^{\circ }}+{{60}^{\circ }}+{{66}^{\circ }}={{180}^{\circ }} \\ & 2x+{{126}^{\circ }}={{180}^{\circ }} \\ & 2x={{54}^{\circ }} \\ & x={{27}^{\circ }} \\\end{align}$

maths year: