Problema Solution

Use an algebraic approach to solve this problem. One of two supplementary angles is 5°more than one fourth of the angle. Find the measures of the angles.

Answer provided by our tutors

Let one angle be x.

The other is 5+.25x

x+5+.25x=180

or, 5+1.25x=180

or, 1.25x=180-5

or, x= 175/1.25

Therefore, the angles are 140 and 40