The two latches make known the fact that this is an isosceles triangle. Here, x is the base angle. There are two base angles in isosceles triangles. Base angles have the same measure. This explains the reason for 2x in the equation below.
Here is the set up:
x + x + 32 = 180
2x + 32 = 180
2x = 180 - 32
2x = 148
x = 148/2
x = 74
The value of x is 74 degrees.
