Question

Two angles are supplementary angles if the sum of their measures is 180. Find two supplementary angles such that the measure of the first angle is 38 less than three times the measure of the second.

Answer 1

Given:

Two angles are supplementary angles if the sum of their measures is 180.

We need to find two supplementary angles such that the measure of the first angle is 38 less than three times the measure of the second.

Let the measure of the first angle = x

And the measure of the second angle = 3x - 38

so,

`\begin{gathered} x+3x-38=180 \\ 4x=180+38 \\ 4x=218 \\ x=(218)/(4)=54.5 \end{gathered}`

So, the angles are 54.5 and 125.5