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 40° 40 degrees 50° 50 degrees 60° 60 degrees Skip to navigation page 13 of 13
The sum of the angles in a triangle is always 180°.
Therefore, we can set up the equation:
(x+10) + (x+20) + (x+30) = 180
Combining like terms:
3x + 60 = 180
3x = 120
x = 40
Plugging x back into the expressions for the angles, we get:
Smallest angle = x + 10 = 40 + 10 = 50°
Therefore, the measure of the smallest angle is 50°.
Answer: 50°