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