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The supplement of A is 180 - A The complement of A is 90 - A So, 180 - A = 2*(90 - A) + 20 or 180 - A = 180 - 2A + 20 So A = 20 degrees
When we see the word supplement, this means that there are two angles that add up to 180 degrees. So now we just need to think of the two angles that add up to 180, but are 20 degrees different from dach other. In this case, we have one angle that is 100 degrees, and one 80 degrees. These add up to 180, and 80 is 20 degrees less than its supplement, which is 100.
The angles are: 75 degrees and 105 degrees
compliment angle = 45 degrees and supplement angle = 135 degrees
Assuming you mean 72 degrees, supplement is 180-72 = 108 degrees