The angles of a triangle measure (x+10)°, (x+20)°, and (x+30)°. Find the measure of the smallest angle.(1 point) Responses 40° 40 degrees 70° 70 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
Simplifying this equation gives us:
3x + 60 = 180
Subtracting 60 from both sides:
3x = 120
Dividing both sides by 3:
x = 40
Therefore, the smallest angle is (x+10) = 40 + 10 = 50°.
So, the correct answer is 50°.