Question 18

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waecmaths question: 

In the diagram, $PQ\parallel RT$, $QR\parallel SU$, $\angle PQR={{48}^{\circ }}$AND find the value of x

Option A: 

134o

Option B: 

132o

Option C: 

96o

Option D: 

 48o

waecmaths solution: 

$\begin{align}  & \angle QRT=\angle PQR=48 \\ & \angle RTU=\angle QRT={{48}^{\circ }}\text{   }\!\!\{\!\!\text{ Alternate angles }\!\!\}\!\!\text{ } \\ & \angle STR+\angle RTU={{180}^{\circ }}\text{   }\!\!\{\!\!\text{ Sum of }\angle s\text{ on a straight line }\!\!\}\!\!\text{ } \\ & X+{{48}^{\circ }}={{180}^{\circ }} \\ & X={{132}^{\circ }} \\\end{align}$

maths year: