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
60°
60 degrees
40°
40 degrees
50°
Let's set up an equation to find the value of x:
(x+10) + (x+20) + (x+30) = 180
Combining like terms, we get:
3x + 60 = 180
Subtracting 60 from both sides:
3x = 120
Dividing both sides by 3:
x = 40
Now, we can find the measure of the smallest angle by substituting x back into one of the angles:
x + 10 = 40 + 10 = 50
Therefore, the measure of the smallest angle is 50°.