Question 19

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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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