Question #5

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

angles are congruent?

F 1.75

G 13.2

H 0.5

) 10.25

10.25

Step-by-step explanation:

5x + 24 = 9x - 17 9x-5x=24+17 4x=41 x=41/4 x=10.25

x=10.25

Step-by-step explanation:

If the two angles are congruent, then the measures are equivalent. Therefore, we can set the measures equal to each other and solve for x.

5x+24=9x-17

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

First, subtrct 5x from both sides.

5x-5x+24=9x-5x-17

24=9x-5x-17

24=4x-17

Next, add 17 to both sides.

24+17=4x-17+17

24+17=4x

41=4x

Lastly, divide both sides by 4, since 4 and x are being multiplied (4*x=4x).

41/4=4x/4

41/4=x

10.25=x

If the angles are congruent, then the value of x is 10.25.