We know that the measures of vertical angles (angles across from one another) are equal, so we can set up an equation.
5x + 32 = 7x + 8
Now we just solve it like a regular equation and isolate the variable.
32 = 2x + 8
24 = 2x
x = 12
Now, we are looking for the measure of angle FSM, which measures 7x + 8.
If we put in the known value of x (12) into this expression, we get:
7(12) + 8
84 + 8
92
Therefore, the measure of angle fsm is 92 degrees.
Hope this helps! :)
