# SOLUTION: five times the complement of an angle less than twice the angles supplement is 30 degrees. Find the measure of the supplement.

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 Click here to see ALL problems on Angles Question 334329: five times the complement of an angle less than twice the angles supplement is 30 degrees. Find the measure of the supplement.Answer by ankor@dixie-net.com(16523)   (Show Source): You can put this solution on YOUR website!five times the complement of an angle less than twice the angles supplement is 30 degrees. Find the measure of the supplement. : let a = "an angle" we know (90-a) = it's complement and 180-a) = it's supplement : Write an equation for the statement: "five times the complement of an angle less than twice the angles supplement is 30 degrees. " 5(90-a) - 2(180-a) = 30 450 - 5a - 360 + 2a = 30 -5a + 2a + 450 - 360 = 30 -3a + 90 = 30 -3a = 30 - 90 -3a = -60 a = a = +20 degrees is the angle but it says: "Find the measure of it's supplement" 180 - 20 = 160 degrees : : Check this in the statement: five times the complement of an angle less than twice the angles supplement is 30 degrees. 5(90-20) - 2(160) = 30 350 - 320 = 30; confirms our solutions