waecmaths question:
In the diagram $MQ\parallel RS,\angle TUV={{70}^{\circ }}\text{and }\angle RLV={{30}^{\circ }}$ find the value of x
Option A:
150o
Option B:
110o
Option C:
100o
Option D:
95o
waecmaths solution:
$\begin{align} & \angle RBD={{30}^{\circ }} \\ & \angle MAB=\angle RBD={{30}^{\circ }}\text{ }\!\!\{\!\!\text{ corresponding }\angle \text{s }\!\!\}\!\!\text{ } \\ & \angle EAC=\angle MAB={{30}^{\circ }}\text{ }\!\!\{\!\!\text{ Vertically opp }\angle \text{s }\!\!\}\!\!\text{ } \\ & \angle AEC+\angle EAC=\angle ACT\text{ }\!\!\{\!\!\text{ sum of opp two }\angle \text{s }\!\!\}\!\!\text{ } \\ & x=\angle ACT={{70}^{\circ }}+{{30}^{\circ }}={{100}^{\circ }} \\\end{align}$
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