Question

An angle measures 79.4 degrees more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

The angles are: 50.3 and 129.7

Explanation:

The sum of supplementary angles is 180°.

Let x be one angle then the other angle will be x+79.4

Using the supplementary angle sum

`x+x+79.4 = 180\\2x+79.4 = 180\\2x = 180-79.4\\2x = 100.6\\(2x)/(2) = (100.6)/(2)\\x = 50.3`

For the measurement of 2nd angle

x+79.4 => 50.3+79.4 => 129.7

Hence,

The angles are: 50.3 and 129.7