waecmaths question:
In the diagram, RT is a tangent to the circle at R, $\angle PQR=70{}^\circ $, $\angle QRT=52{}^\circ $, $\angle QSR=y$ and $\angle PRQ=x$.
Find the value of y
Option A:
70o
Option B:
60o
Option C:
52o
Option D:
18o
waecmaths solution:
$\begin{align} & \text{Given } \\ & \angle PQR=70{}^\circ \\ & \angle QRT=52{}^\circ \\ & \angle QSR=\angle QRT\text{ }\!\!\{\!\!\text{ Alternate segment }\!\!\}\!\!\text{ } \\ & y=\angle QSR=52{}^\circ \\\end{align}$
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