Two angles are supplementary if the sum of their measures is

Two angles are supplementary if the sum of their measures is 180 degrees.
Find two supplementary angles such that the larger angle is 115 degrees more than 4 times the smaller angle.

round two decimal places if necessary

Solution

Supplementary angles are those who have sum = 180 degrees

Let \'x\' be one angle and \'y\' be other

x + y = 180

And

x = 4y + 115

Combining both equations we get:

5y = 65

y = 13

and x = 167 degrees