4400 Higher June 2004 Paper 3 Q20

20

Diagram NOT accurately drawn

\(Q\), \(R\), \(S\) and \(T\) are points on the circumference of a circle.
\(PU\) is a tangent to the circle at \(T\).
\(PQR\) is a straight line.
Angle \(PQT = 108^\circ\).
Angle \(STR = 44^\circ\).

Work out the size of angle \(STU\).
You must give a reason for each step in your working.

(5)