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

Solution: beginning of the unit = - 2end of the unit = beginning of the unit + 4end of the unit = - 2 + 4end of the unit = 2final answer: therefore, aila was able to reach 2 ( insert name of unit of measurement ) at the end of the unit.hope this ! : )have a lovely day! < 3