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