1MA0 Higher June 2017 Paper 1 Q5

EdexcelHigherOld spec3 marksAngles (Including Parallel Lines)

5 Here is a pentagon \(ABCDE\).

Pentagon ABCDE with lines AC and BD drawn; angle AED = 40 degrees, angle EDB = 130 degrees and angle BDC = 72 degrees

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)