The angles of a triangle measure (x+10)°

Question

, (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°
60 degrees

Answer 1

The sum of the angles in a triangle is always 180 degrees. So, we can set up an equation:

(x+10) + (x+20) + (x+30) = 180
3x + 60 = 180
3x = 120
x = 40

The smallest angle is x+10, so substituting x=40:
40+10 = 50°

Therefore, the measure of the smallest angle is 50°.

Answer: 50°