Question 21

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waecmaths question: 

In the figure shown, PQS is a straight line. What is the value of $\angle PRQ$

Option A: 

128o

Option B: 

108o

Option C: 

98o

Option D: 

78o

waecmaths solution: 

\[\begin{align}  & \angle PQR={{180}^{\circ }}-{{148}^{\circ }}={{32}^{\circ }}\text{    }\!\!\{\!\!\text{ sum of }\angle \text{s on a straight line }\!\!\}\!\!\text{ } \\ & \angle PRQ={{180}^{\circ }}-(\angle PQR+\angle QPR)={{180}^{\circ }}-({{70}^{\circ }}+{{32}^{\circ }})={{78}^{\circ }} \\ &  \\\end{align}\]

maths year: