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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