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)   (Show Source): You can put this solution on YOUR website!

supplementary angles are two angles whose sum is °
let an angle be and other angle , then
°.........eq.1
if angle measures ° less than the measure of its supplementary angle , we have
.....eq.2..substitute in eq.1
°
°
°
°
°

go to eq.2
° .....eq.2, substitute
°
°

so, your angle are: ° and °

Answer by MathTherapy(10552)   (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

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