The directions that came with the kite pattern that Andre ordered on the internet said to cut out 2 supplementary angles so that the measure of one is twice the measure of the other. How many degrees are in each angle? Justify your answer.

Answer 1

a + 2a = 180
3a = 180
a = 60

The smaller angle has 60 degrees.

Answer 2

But how do you get 60?

Answer 3

180 divided by 3 = 60

Answer 4

But aren't there only 2 angles? I'm confused.

Answer 5

Yes there are two angles. One is 60 degrees. Your problem states that the other one is twice the measure of the first.

2 times 60 = 120

1 angle measures 60 degrees.
The other angle measures 120 degrees.