SOLUTION
The triangle in the picture has two sides to be equal. This means that the triangle is an isosceles triangle.
The base angles of an isosceles triangle are equal.
This implies that angle C = B = 49 degrees
So both angles B and C are 49 degrees each.
Now let's find angle A
A + B + C = 180 degrees (sum of angles in a triangle)
Then
The line bisects angle A into two equal triangles, that is angle y and the angle at the other side
This means that
Now let's find x.
Angles x, y, and B make up a triangle. This means that
Therefore, x = 90, and y = 41