Question

Two angles are supplementary. The measure of the larger is 100 degrees greater than the measure of the smaller . Find measure of both angles

Answer 1

Answer:

The smaller angle is 40 degrees and the larger angle is 140 degrees.

Step-by-step explanation:

Let's call the larger angle angle x and the smaller angle angle y

since the angles are supplementary they add up to 180 degrees. So we can say that x+y = 180.

We also can say that x- y = 100 degrees.

so if we add the equations together we get 2x and y cancels out = 280.

so x = 140 and y = 40

so the smaller angle is 140 and the larger angle is 40.

Answer 2

Answer:

The smaller angle is 40 degrees and the larger angle is 140 degrees.

Step-by-step explanation: