If AC is a diagonal, we know that it cuts angle C in half. And we know that triangles add up to 180 degrees, as do supplementary angles.
Angle C: 45 degrees
90 / 2 = 45
Angle E: 108 degrees
180 = 63 + 45 + x
x = 72
E = 180 - 72 = 108
Angle A: 90 degrees
This is a square, and since AC is a diagonal, which cuts the angle in half, A must be 90 degrees.
Angle B: 117 degrees
180 - 63 = B
B = 117
Hope this helps!! :)