SOLUTION: The measures of the angles of a triangle are represented by 2x, x+10, 2x-30. Find the measure of the smallest angle of this triangle
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Question 712483: The measures of the angles of a triangle are represented by 2x, x+10, 2x-30. Find the measure of the smallest angle of this triangle Answer by algebrahouse.com(1659) (Show Source):
2x + x + 10 + 2x - 30 = 180 {angles add up to 180}
5x - 20 = 180 {combined like terms}
5x = 200 {added 20 to each side}
x = 40 {divided each side by 5}
2x = 80 {substituted 40 for x}
x + 10 = 50 {substituted 40 for x}
2x - 30 = 50 {substituted 40 for x}
Two angles are the same and also the smallest at 50°
