Question

CAN SOMEONE HELP ME! Find the measure of an angle such that the difference between the measures of its supplement and nine times its complement is ​50°

Answer 1

85 degrees

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.