Higher November 2020 Paper 1 Q16

EdexcelHigherCurrent spec4 marksCircle Theorems

16

Circle with centre O and points N, P, L and M on it; chords NP, NM, ML and LP form a cyclic quadrilateral; O is joined to M and P; angle MNP is 58 degrees

Diagram NOT accurately drawn

\(L\), \(M\), \(N\) and \(P\) are points on a circle, centre \(O\)

Angle \(MNP = 58°\)

(a)
(i) Find the size of angle \(MLP\)
(ii) Give a reason for your answer. (2)
(b) Find the size of the reflex angle \(MOP\) (2)
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