Question

Two angles are supplementary. The first angle has 20º more then the second angle. How many degrees are in each angle?

Answer 1

The sum of the measures of two supplementary angles is 180 degrees.

The second angle measures x.
The first angle measures 20 deg more than x, or x + 20.

The sum of their measures is 180 deg.

x + x + 20 = 180

2x + 20 = 180

2x = 160

x = 80

The second angle measures 80 deg.

x + 20 = 80 + 20 = 100

The first angle measures 100 deg.

Answer: The first angle measures 100 deg, and the second angle measures 80 deg.