Question
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°
Answers
GPT 3.5
To find the smallest angle, we need to set up an equation with the three angles:
(x+10) + (x+20) + (x+30) = 180
3x + 60 = 180
3x = 120
x = 40
Now we can plug in x = 40 into each of the angles to find their measures:
Smallest angle: x+10 = 40+10 = 50 degrees
Therefore, the measure of the smallest angle is 50°.
(x+10) + (x+20) + (x+30) = 180
3x + 60 = 180
3x = 120
x = 40
Now we can plug in x = 40 into each of the angles to find their measures:
Smallest angle: x+10 = 40+10 = 50 degrees
Therefore, the measure of the smallest angle is 50°.