Question

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.

Answer 1

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.