4MA0 Higher January 2018 Paper 3 Q15

EdexcelHigherOld spec3 marksCircle Theorems

15

Circle centre O with points A, B and C on the circle; tangents DA and DC meet at D with angle ADC = 76 degrees; lines AB, BC, OA and OC drawn

Diagram NOT accurately drawn

\(A\), \(B\) and \(C\) are points on a circle, centre \(O\).
\(DA\) and \(DC\) are tangents to the circle.
Angle \(ADC = 76^\circ\)

Work out the size of angle \(ABC\).

(3)

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