Question 46

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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