1MA0 Higher June 2017 Paper 1 Q5
5 Here is a pentagon \(ABCDE\).

Diagram NOT accurately drawn
\(AB = BC = BD\)
\(ABDE\) is a kite.
Angle \(AED = 40^\circ\)
Angle \(EDB = 130^\circ\)
Angle \(BDC = 72^\circ\)
Work out the size of angle \(ACB\). (3)
| Answer | Mark | Notes |
|---|---|---|
| 42 | 3 | M1 for a method to find angle \(ABD\) eg \(ABD = 360 - 130 - 130 - 40\) (= 60) or angle \(DBC\) eg \(DBC = 180 - 2 \times 72\) (= 36) (may be on the diagram) M1 for a complete method eg \((180 - \text{``}60\text{''} - \text{``}36\text{''}) \div 2\) A1 cao OR M1 for a method to find angle \(ABC\) eg \(ABC = 540 - 130 - 40 - 130 - 72 - 72\) (= 96) M1 for a complete method eg \((180 - \text{``}96\text{''}) \div 2\) A1 cao |