Higher June 2018 Paper 2R Q12

EdexcelHigherCurrent spec3 marksCircle Theorems

12

Circle centre O with points A, C and D on the circle; tangents from B touch the circle at A and C; angle ABC = 74°; D is joined to A and to C, and O is joined to A and to C

Diagram NOT accurately drawn

\(A\), \(C\) and \(D\) are points on a circle, centre \(O\).
\(AB\) and \(CB\) are tangents to the circle.

Angle \(ABC = 74^\circ\)

Work out the size of angle \(ADC\).
Show your working clearly.

(3)

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