SOLUTION: In a triangle the two larger angles differ by 10 degrees. The smaller angle is 50 degrees less than the largest angle. Find the measure of each angle.
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Question 818450: In a triangle the two larger angles differ by 10 degrees. The smaller angle is 50 degrees less than the largest angle. Find the measure of each angle. Answer by algebrahouse.com(1659) (Show Source):
x + x - 10 + x - 50 = 180 {angles of a triangle add up to 180°}
3x - 60 = 180 {combined like terms}
3x = 240 {added 60 to each side}
x = 80 {divided each side by 4}
x - 10 = 70 {substituted 80, in for x, into x - 10}
x - 50 = 30 {substituted 80, in for x, into x - 50}
