4MA0 Foundation June 2014 Paper 1 Q10

10

Diagram NOT accurately drawn

The diagram shows a quadrilateral \(ABCD\).
The quadrilateral \(ABCD\) is made from two identical isosceles triangles, \(ABD\) and \(CBD\).
\(DA = DB = DC\).
Angle \(BAD\) = Angle \(BCD = 35^\circ\)
Angle \(ADC = x^\circ\)

Work out the value of \(x\).

(4)