JAMB Mathematics 2016 Paper

Concept:In a cyclic quadrilateral, an exterior angle is equal to the opposite interior angle.Explanation:The angle $\angle ROP$ is an exterior angle of the cyclic quadrilateral shown in the diagram.By the cyclic quadrilateral property, the exterior angle equals the opposite interior angle.From the diagram, that opposite interior angle is $95^\circ$.Therefore, $\angle ROP = 95^\circ$.Answer:$\angle ROP = 95^\circ$, which is option C.