WAEC Mathematics 2023 Paper

Concept:The angle between a tangent and a chord is equal to the angle in the alternate segment of the circle.Explanation:The diagram shows a tangent touching the circle at one end of the chord that forms the marked angle $t$.By the alternate segment theorem, this tangent-chord angle is equal to the angle subtended by the same chord in the opposite segment.The angle in the alternate segment is $\angle NTS$.Given: $\angle NTS = 36^\circ$.Therefore:$$t = \angle NTS = 36^\circ$$Answer:$36^\circ$ (Option C).