SOLUTION: The angles of a triangle are 3x, (2x+20), and (5x-40).Find the angles. Show that the triangle is an eqilateral triangle.
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-> SOLUTION: The angles of a triangle are 3x, (2x+20), and (5x-40).Find the angles. Show that the triangle is an eqilateral triangle.
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Angles of a triangle add up to 180.
3x + 2x + 20 + 5x - 40 = 180 {sum of angles equals 180}
10x - 20 = 180 {combine like terms}
10x = 200 {added 20 to both sides}
x = 20 {divided both sides by 10}
Substitute 20, in for x, into sides
3x = 60
2x + 20 = 60
5x - 40 = 60
It is an equilateral triangle because all of the angles are equal} www.algebrahouse.com
