The measure of an angle is thirty-five times the measure of a supplementary angle. what is the measure of each angle?

Two supplementary angles will always add up to 180 degrees, so we can let x equal one of the angles which will make the other angle 35x. If we add them together...

35x + x = 180
36x = 180
x = 180/36
x = 5

The first angle is 5 degrees.

The second angle is 35x, so 35×5 = 175 degrees.

Check by adding them together and they should add up to 180.

175 + 5 = 180
180 = 180 Yep!!