x = 90°, y = 44°
Explanation:
Triangle ADC:
∠ADC + ∠ACD + ∠DAC = 180 degrees
∠D = 90 degrees
∠C = 46°
90 + 46 + ∠DAC = 180°
136 + ∠DAC = 180°
∠DAC = 180 - 136
∠DAC = 44°
Notice from the diagram, the tick marks indicate AB = AC
This means the angles at A are equal.
∠BAD = ∠DAC = 44°
∠BAD = y
y = 44°
∠BDA = ∠ADC = 90°
∠BDA = x
x = 90°
