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