The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.(1 point) Responses 70° 70 degrees 40° 40 degrees 60° 60 degrees 50°
The sum of the angles in a triangle is always 180 degrees. So we can write the equation:
(x+10) + (x+20) + (x+30) = 180
Combining like terms, we get:
3x + 60 = 180
Subtracting 60 from both sides, we get:
3x = 120
Dividing by 3, we get:
x = 40
Therefore, the smallest angle is x + 10 = 40 + 10 = 50 degrees.