Question

One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.

Answer 1

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,

$x+y=180\ ....(1)$

According to given condition,

One supplementary angle is 15 degrees less than twice the other, it means,

$x=2y-15\ .....(2)$

Putting the value of x from above equation in equation (1),

$2y-15+y=180\\\\3y-15=180\\\\3y=195\\\\y=\dfrac{195}{3}\\\\y=65^{\circ}$

Now put the value of y in equation (1), so,

$x+65=180\\\\x=115^{\circ}$

So, the measure of the two supplementary angles are 65 degrees and 115 degrees.