4MA0 Higher June 2017 Paper 4 Q14

EdexcelHigherOld spec4 marksCircle Theorems

14

Circle centre O with points A, B, C and D on the circle; chords BA, BD, CA and CD and radii OA and OD drawn; angle ABD = 52 degrees

Diagram NOT accurately drawn

\(A\), \(B\), \(C\) and \(D\) are points on a circle, centre \(O\).
Angle \(ABD = 52^\circ\)

(a)
(i) Write down the size of angle \(ACD\).
(ii) Give a reason for your answer. (2)
(b)
(i) Write down the size of angle \(AOD\).
(ii) Give a reason for your answer. (2)
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