Hello!
We assign (5x + 24) to angle one and (9x - 7) to angle two. If these angles are congruent, then angle one is equal to angle two. To find the value of x, you need to create and equation as follows: 5x + 24 = 9x - 7 and find the value of x like a normal algebraic equation.
5x + 24 = 9x - 7 (subtract 5x from both sides)
24 = 4x - 7 (add 7 to both sides)
31 = 4x (divide 4 to both sides)
x = 31/4
Therefore, the value of x is equal to 31/4.