Which classification best describes the triangle?
The measures of the angles of a triangle can be represented
by the expressions x°, (x + 20)°, and (2x)°.
The measures of the angles of a triangle can be represented
by the expressions x°, (x + 20)°, and (2x)°.
Angles of a triangle add up to 180°
x + x + 20 + 2x = 180 {added angles up and set equal to 180}
4x + 20 = 180 {combined like terms}
4x = 160 {subtracted 20 from both sides}
x = 40 {divided both sides by 4}
x + 20 = 60 {substituted 40, in for x, into x + 20}
2x = 80 {substituted 40, in for x, into 2x}
40°, 60°, and 80° are the angles
The triangle is an acute triangle {none of the angles are greater than/equal to 90°}
© Algebra House
