4MA0 Foundation January 2014 Paper 1 Q19

19

Diagram NOT accurately drawn

\(T\) is a point on a circle, centre \(O\).
\(Q\) is a point such that angle \(QTO = 58^\circ\)
\(P\) is the point such that \(OP\) is parallel to \(QT\) and \(PT\) is a tangent to the circle.

Work out the size of angle \(OPT\).

(3)