Question 39

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waecmaths question: 

     In the diagram, PQ is a straight line, calculate the value of angle labelled 2y

Option A: 

130o

Option B: 

120o

Option C: 

110o

Option D: 

100o

waecmaths solution: 

$\begin{align}  & {{80}^{\circ }}+{{50}^{\circ }}+x+{{10}^{\circ }}={{180}^{\circ }}\text{    }\!\!\{\!\!\text{ Sum of angles on a straight line }\!\!\}\!\!\text{ } \\ & x={{40}^{\circ }} \\ & \text{Also,} \\ & 2y+2x={{180}^{\circ }}\text{    }\!\!\{\!\!\text{ Sum of angles on a straight line }\!\!\}\!\!\text{ } \\ & 2y+2({{40}^{\circ }})={{180}^{\circ }} \\ & 2y={{100}^{\circ }} \\\end{align}$

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