Answer:
The measure of the two supplementary angles are 65 degrees and 115 degrees.
Step-by-step explanation:
The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,
[tex]x+y=180\ ....(1)[/tex]
According to given condition,
One supplementary angle is 15 degrees less than twice the other, it means,
[tex]x=2y-15\ .....(2)[/tex]
Putting the value of x from above equation in equation (1),
[tex]2y-15+y=180\\\\3y-15=180\\\\3y=195\\\\y=\dfrac{195}{3}\\\\y=65^{\circ}[/tex]
Now put the value of y in equation (1), so,
[tex]x+65=180\\\\x=115^{\circ}[/tex]
So, the measure of the two supplementary angles are 65 degrees and 115 degrees.
