JAMB Mathematics 2016 Paper

Concept:The line joining the centre of a circle to an external point bisects the angle between the two tangents drawn from that point.Explanation:From the diagram, $T$ is an external point.$TQ$ is a tangent to the circle at $Q$.The line $OT$ joins the external point to the centre $O$.This line $OT$ bisects the angle between the two tangents at $T$.The given angle between the tangents is $130^\circ$.Therefore, $\angle OTQ = \frac{130^\circ}{2} = 65^\circ$.Answer:D. $65^\circ$