Jambmaths question:
In the cyclic quadrilateral above, find $\angle PRO$
Option A:
70o
Option B:
20o
Option C:
50o
Option D:
30o
Jamb Maths Solution:
$\begin{align} & \angle OPR=\angle OQR={{50}^{\circ }}\text{ } \\ & \text{ }\!\!\{\!\!\text{ }\angle \text{s on the same base and segment }\!\!\}\!\!\text{ } \\ & \text{Consider }\vartriangle POR \\ & \angle OPR+\angle POR+\angle PRO={{180}^{\circ }} \\ & {{50}^{\circ }}+{{110}^{\circ }}+y={{180}^{\circ }} \\ & \angle PRO=y={{20}^{\circ }} \\\end{align}$
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