Higher January 2021 Paper 2 Q13

EdexcelHigherCurrent spec3 marksCircle Theorems

13 \(P\), \(Q\), \(R\), \(S\) and \(T\) are points on a circle with centre \(O\).

Circle with centre O and points P, Q, R, S, T on it; QOS is a diameter; angle POS = 124 degrees, angle PRS = m degrees, angle PTS = n degrees

Diagram NOT accurately drawn

\(QOS\) is a diameter of the circle.

angle \(POS = 124^\circ\)       angle \(PRS = m^\circ\)       angle \(PTS = n^\circ\)

(a) Find the value of
(i) \(m\)
(ii) \(n\) (2)
(b) Find the size of angle \(QPO\). (1)