SOLUTION: find the measures of two supplementary angles if the measure of one is six less than five times the measure of the other angle

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Question 909322: find the measures of two supplementary angles if the measure of one is six less than five times the measure of the other angle
Answer by JulietG(1812)   (Show Source): You can put this solution on YOUR website!
Supplementary angles add up to 180 degrees.
Therefore A + B = 180
A = 5B-6 [six less than five times the measure of the other]
Substitute the value of A from the bottom equation into the top.
A + B = 180
(5B-6) + B = 180
6B - 6 = 180
6B = 174
B = 29
If the smaller angle is 29, then the larger angle is 180-29, or 151.
151 = 5*29(145) + 6

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