2023 AISS EM S1 EOY P1 Q9

The quadrilateral \({ABCD}\) is made up of two isosceles triangle \({ADC}\) and \({ABC}\).

Diagonal \({AC}\) and \({DB}\) meet at the point \({E}\).

Angle \({CAB = 31^\circ}\) and angle \({BCD = 110^\circ}\).

1. Write down the name of the special quadrilateral \({ABCD}\).[1]
2. Calculate angle \({DAC}\).[1]
3. Calculate angle \({EBC}\).[2]