The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.(1 point) Responses 60° 60 degrees 70° 70 degrees 40° 40 degrees 50°
We know that the sum of the angles in a triangle is always 180°.
So, we can set up the equation:
(x+10) + (x+20) + (x+30) = 180
3x + 60 = 180
3x = 120
x = 40
Thus, the measure of the smallest angle would be x + 10 = 40 + 10 = 50°.