The sum of the measures of the angles of a triangle is 180 °. Determine the three angles of a triangle, if an angle is 20 ° greater than the smallest angle and the third angle is twice the smallest angle.
let smallest angle = x the other is x+20 and the last is 2x combine all to equal 180 x+x+20+2x=180 combine like terms 4x+20=180 4x=160 x=40 therefore the 3 angles are 40, 60, and 80.