Question 22

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waecmaths question: 

In the diagram, $PQ\parallel RS,\text{ }QU\parallel PT\text{ and }\angle PSR={{42}^{{}^\circ }}$. Find the angle x

Option A: 

84o

Option B: 

48o

Option C: 

42o

Option D: 

32o

waecmaths solution: 

$\begin{align}  & \angle SPQ=\angle RSP={{42}^{\circ }}\text{   }\!\!\{\!\!\text{ alternate angles }\!\!\}\!\!\text{ } \\ & \angle VQU=\angle SPQ={{42}^{\circ }}\text{   }\!\!\{\!\!\text{ corresponding angles }\!\!\}\!\!\text{ } \\\end{align}$

maths year: