4400 Higher November 2009 Paper 4 Q15

EdexcelHigherOld spec4 marksCircle Theorems

15

Circle centre O with points A, B, C and D on the circle; lines AB, BC, CD, DA, OA and OC; angle ABC = 58 degrees

Diagram NOT accurately drawn

\(A\), \(B\), \(C\) and \(D\) are points on a circle, centre \(O\).
Angle \(ABC = 58°\).

(a)
(i) Calculate the size of angle \(AOC\).
(ii) Give a reason for your answer. (2)
(b)
(i) Calculate the size of angle \(ADC\).
(ii) Give a reason for your answer. (2)
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