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