Please help me answer this question

x = 90 degrees and y = 43 degrees

Step-by-step explanation:

We have an isosceles triangle here, since the length of AB equals the length of AC.

That also means that angle ABC equals angle ACD = 47 degrees.

The sum of the interior angles of a triangle equals 180.

47 + 47 + 2y = 180

94 + 2y = 180

2y = 86

y = 43 degrees

x + 43 + 47 = 180

x + 90 = 180

x = 90