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(1659)   (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
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