An angle measures 79.6° less than the measure of a supplementary angle. What is the measure of each angle?

Question

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Answer 1

Let's say you have 2 supplimentary angles, x and y

So x + y = 180

if x is 79.6 degrees less than the measure of a supplementary angle, then x = y - 79.6

Putting this into our x + y = 180 equation, we get

(y - 79.6) + y = 180

2y - 79.6 = 180

2y = 180 + 79.6

2y = 259.6

y = 259.6/2 = 129.8 degrees.

so x = 129.8 - 79.6 = 50.2 degrees.

See if it worked. x = 129.8 degrees, y = 50.2 degrees, x + y = 180 so we found the correct two angles! :-)