Answer:
85 degrees
Step-by-step explanation:
To start we can call the angle x and make an equation.
The complement of the angle would be 90 degrees - x
The supplement of the angle would be 180 degrees - x
Therefore, the difference between the measures of its supplement and nine times its complement is
180 - x - 9(90 - x) = 50
Solving,
180 - x - 810 + 9x = 50
8x - 630 = 50
8x = 680
x = 85 degrees.
