the supplement of an angle is twenty-four degrees less than five times the angle find the measure of the angle

The measure of the angle is 34 deg.

Step-by-step explanation:

Let the angle measure = x

"the supplement of an angle is twenty-four degrees less than five times the angle"

The supplement's measure is 5x - 24

The measures of supplementary angles is 180 deg.

x + 5x - 24 = 180

6x - 24 = 180

6x = 204

x = 34

The measure of the angle is 34 deg.