Question 20

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waecmaths question: 

In the diagram, O is the centre of the circle \[\angle XOZ={{(10m)}^{\circ }}\] and \[\angle XWZ={{m}^{\circ }}\]calculate the value of m

Option A: 

30

Option B: 

36

Option C: 

40

Option D: 

72

waecmaths solution: 

$\begin{align}  & \angle XOZ=2\angle XWZ\text{     }\!\!\{\!\!\text{ }\angle \text{ at the centre}=2\times \angle \text{ at the circumference }\!\!\}\!\!\text{ } \\ & \angle XOZ=2m \\ & 2m+10m={{360}^{\circ }}\text{    }\!\!\{\!\!\text{ sum of }\angle s\text{ at a point }\!\!\}\!\!\text{ } \\ & 12m={{360}^{\circ }} \\ & m={{30}^{\circ }} \\\end{align}$

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