The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.(1 point)

Responses

50°
50 degrees

70°
70 degrees

40°
40 degrees

60°

1 answer

The measures of the angles in a triangle add up to 180 degrees. So, we can set up the equation:

(x+10) + (x+20) + (x+30) = 180

Simplifying, we get:

3x + 60 = 180

Subtracting 60 from both sides, we have:

3x = 120

Dividing both sides by 3, we find:

x = 40

So, the smallest angle is (x+10) = 40°+10° = 50°.

Therefore, the answer is 50°.