4MA0 Higher January 2017 Paper 4R Q17

EdexcelHigherOld spec4 marksCircle Theorems

17

Circle centre O with points A, B and C on the circumference; reflex angle AOB is 260°, angle OBC is 30°; tangent DAE touches the circle at A

Diagram NOT accurately drawn

\(A\), \(B\), and \(C\) are points on the circumference of a circle, centre \(O\).
\(DAE\) is a tangent to the circle.

(a) Work out the size of angle \(ACB\). (2)
(b) Work out the size of angle \(CAD\). (2)
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