1MA0 Higher June 2014 Paper 1 Q21
21
Diagram NOT accurately drawn
\(B\), \(C\) and \(D\) are points on the circumference of a circle, centre \(O\).
\(ABE\) and \(ADF\) are tangents to the circle.
Angle \(DAB = 40^\circ\)
Angle \(CBE = 75^\circ\)
Work out the size of angle \(ODC\). (3)
| Answer | Mark | Notes |
|---|---|---|
| 55 | 3 | M1 for angle \(ABO = 90\) or angle \(ADO = 90\), or angle \(OBC = 15\) or angle \(FDO = 90\) or angle \(EBO = 90\) (could be marked on the diagram) M1 for reflex angle \(BOD = 360 - (360 - 90 - 90 - 40)\) (= 220) or angle \(BCD = (360 - 90 - 90 - 40) \div 2\) (= 70) or angle \(BDO\) or angle \(DBO = 90 - (180 - 40)/2\) (= 20) or angle \(BOC = 180 - (15 + 15)\) (=150) A1 cao |