4400 Higher November 2007 Paper 4 Q22

EdexcelHigherOld spec4 marksCircle Theorems

22

Circle centre O with points A, B, C, D on it; AC a diameter through O; chords AD, DC, DB, BC; angle CBD = 38 degrees

Diagram NOT accurately drawn

\(A\), \(B\), \(C\) and \(D\) are points on a circle, centre \(O\).
\(AC\) is a diameter of the circle.
Angle \(CBD = 38^\circ\).

(a)
(i) Find the size of angle \(DAC\).
(ii) Give a reason for your answer. (2)
(b) Find the size of angle \(ACD\). (2)
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