waecmaths question:
In the diagram $\overline{VX}$is a tangent to the tangent to the circle UYW at W. If $WY\parallel UV$, $\angle UYW={{95}^{\circ }}$ and $\angle UWY={{46}^{\circ }}$find $\angle UVW$
Option A:
51o
Option B:
49o
Option C:
39o
Option D:
34o
waecmaths solution:
$\begin{align} & \angle YWX={{90}^{\circ }}-{{46}^{\circ }}={{34}^{\circ }}\text{ }\!\!\{\!\!\text{ Tangent to a circle }\!\!\}\!\!\text{ } \\ & \angle UVW=\angle YWX={{34}^{\circ }}\text{ }\!\!\{\!\!\text{ Alternate segment }\!\!\}\!\!\text{ } \\\end{align}$
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