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 50° 50 degrees 40° 40 degrees 60°
The sum of the angles in a triangle is always 180 degrees.
So, (x+10) + (x+20) + (x+30) = 180.
Solving this equation gives:
3x + 60 = 180
3x = 120
x = 40
Therefore, the angles are 50°, 60°, and 70°.
So, the measure of the smallest angle is 50°.
Answer: 50°