The measures of two angels are (5x+24) and (9x-17). what is the value of x if these angels are congruets

You set the expressions equal to each other since they are congruent, then solve.

5x + 24 = 9x - 17

First subtract 24 from both sides to get

5x = 9x - 41

The subtract 9x from both sides to get

-4x = - 41

Then divide both sides by - 4 to get

x = 41/4 or as a decimal x = 10.25