4400 Higher November 2006 Paper 4 Q20

EdexcelHigherOld spec4 marksCircle Theorems

20

Circle with points A, B, C, D on it; AB a diameter through the centre; angle ADC = 119 degrees

Diagram NOT accurately drawn

\(A\), \(B\), \(C\) and \(D\) are points on the circumference of a circle.
\(AB\) is a diameter of the circle.
Angle \(ADC = 119^\circ\).

(a)
(i) Work out the size of angle \(ABC\).
(ii) Give a reason for your answer. (2)
(b) Work out the size of angle \(BAC\). (2)
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