Question 22

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waecmaths question: 

In the diagram, $\overline{SR}$is parallel to $\overline{UW}$,$\angle WVT={{x}^{\circ }},\angle VUT={{y}^{\circ }},\angle RSV={{45}^{\circ }}$and $\angle VTU={{20}^{\circ }}$Calculate the value of y 

Option A: 

20o

Option B: 

25o

Option C: 

45o

Option D: 

65o

waecmaths solution: 

$\begin{align}  & \angle VUT+\angle VTU=\angle WVT\text{  }\!\!\{\!\!\text{ Sum of the two opp}\text{. interior angle }\!\!\}\!\!\text{ } \\ & y+{{20}^{\circ }}={{45}^{\circ }} \\ & y={{25}^{\circ }} \\\end{align}$

maths year: