Question

The measures of two supplementary angles total 180 degrees. The measure of angle y is 65 degrees less than the measure of angle x. What are the measures of the angles?

Answer 1

The measures of the angles are given to be x and y. Since y is 65 degrees less than the measure of angle x then, it can also be expressed as x - 65. The sum of the angles x and y should be 180 degrees as they are supplementary angles, 
                                    x + y = 180
                                   x + (x - 65) = 180
The value of x is 122.5 and that of y is 57.5. Therefore, the measures of the angles are 122.5 and 57.5.