4MA0 Higher June 2013 Paper 4R Q15

EdexcelHigherOld spec3 marksCircle Theorems

15

Circle through D, E, F, G and H with chords GE, HF, GH, HD, DE and EF; angle EGH = 67°

Diagram NOT accurately drawn

\(D\), \(E\), \(F\), \(G\) and \(H\) are points on a circle.
Angle \(EGH = 67^\circ\)

(a) Find the size of angle \(EFH\). (1)
(b)
(i) Find the size of angle \(EDH\).
(ii) Give a reason for your answer.
(2)
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