Question

Find the value of the variable and the measure of each labeled angle

Answer 1

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