# SOLUTION: Find the angles of a triangle if it is known that the measures of the angles are n, 4n - 15, and 4(40 - n)

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 Question 462823: Find the angles of a triangle if it is known that the measures of the angles are n, 4n - 15, and 4(40 - n)Answer by algebrahouse.com(1279)   (Show Source): You can put this solution on YOUR website!Angles of a triangle add up to 180° n + 4n - 15 + 4(40 - n) = 180 {added angles together and set equal to 180} n + 4n - 15 + 160 - 4n = 180 {used distributive property} n + 145 = 180 {combined like terms} n = 35 {subtracted 145 from both sides} 4n - 15 = 125 {substituted 35, in for n, into 4n - 15} 4(40 - n) = 20 {substituted 35, in for n, into 4(40 - n)} 35, 125, and 20 are the three angles www.algebrahouse.com