SOLUTION: two angles are supplementary. the measure of one angle is ten degrees more than three times the other. find the measure of each angle

Question 185089: two angles are supplementary. the measure of one angle is ten degrees more than three times the other. find the measure of each angle
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!

Note: Let A and B be angles with measures x and y, respectively. If x+y=180, then the two angles are supplementary.
::
Let x=measure of one angle
Then 3x+10 [ten degrees more than three times the other]=measure of the other angle
::
IF the angles are supplementary, then:
:: x+(3x+10)=180
:: 4x+10=180
:: 4x=170
:: x=170/4=42.5^o. The other angle is 180-42.5=137.5^o
::
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HyperBrain!
::
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