4MA0 Higher January 2014 Paper 3 Q6

EdexcelHigherOld spec3 marksAngles (Including Parallel Lines)Circle Theorems

Circle centre O with T on the circle; QT parallel to OP; PT is a tangent at T; angle QTO = 58 degrees

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)

Scheme	Marks
\(\angle POT = 58^\circ\)	M1
\(\angle OTP = 90^\circ\)	M1
32	A1
	(3)
	(3 marks)

Notes