The values of the missing angles x and y are x = 32° and y = 45°
How to find the angle in the triangle?
We know that an Isosceles triangle is a type of triangle where the base angles are equal and as such:
We see that the base angle of triangle ABD are equal and as such:
∠ABD = ∠ADB = 32°
Thus: x = 32°
Similarly:
We see that the base angles of triangle ABD are equal and as such:
∠ACD = ∠ADC = (180 - 90)/2
∠ACD = ∠ADC = 45°
Thus:
y = 45°