Question

the measures of 2 angles are (5x+24) and (9x-7). what is the value of x if these angles are congruent?

Answer 1

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.