SOLUTION: An angle measures 78.4° less than the measure of its supplementary angle. What is the measure of each angle?

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Question 1152990: An angle measures 78.4° less than the measure of its supplementary angle. What is the measure of each angle?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

supplementary angles are two angles whose sum is 180°
let an angle be alpha and other angle beta, then
alpha%2Bbeta=180°.........eq.1
if angle alpha measures 78.4° less than the measure of its supplementary angle beta, we have
alpha=beta-78.4 .....eq.2..substitute in eq.1
beta-78.4%2Bbeta=180°
2beta=180%2B78.4°
2beta=258.4°
beta=258.4%2F2°
beta=129.2°

go to eq.2
alpha=beta-78.4° .....eq.2, substitute beta
alpha=129.2-78.4°
alpha=50.8°

so, your angle are: 50.8° and 129.2°

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
An angle measures 78.4° less than the measure of its supplementary angle. What is the measure of each angle?
Let one angle be A

Then other angle, being supplementary, is: 180 - A

We then get: A = 180 - A - 78.4

A + A = 180 - 78.4

2A = 101.6