Since the two angles that you have are vertical angles, we know that vertical angles are congruent, so you have to set them to equal each other.
x+24=5x-36
-4x+24=-36
-4x=-60
x=15
We now have the value of x so now we plug it in for each expression of each angle.
x+24=?
15+24=39
5x-36=?
5(15)-36=?
75-36=39