The measure of an angle is four times the measure of its supplementary angle. What is the measure of each angle?

Question

supplementary=180 degrees

Answer 1

Hi, there! I'd love to help you out

Let's say our first angle is x:

x = first angle

It tells us the second angle is four times the measure of the first angle:

x = first angle

4x = second angle

It also tells us they're supplementary. So we just add them up and set them equal to 180:

x + 4x = 180

5x = 180

/5 /5

x = 36

4x = 4 *36 = 144

So our first angle is 36 degrees and the second is 144 degrees. I hope this explanation was thorough and answered all of your questions. If you have additional confusion please don't hesitate to reach out. Learn on! :)