The measure of the smallest angle is (x+10)°.
To find the smallest angle, we have to find the value of x.
Since the sum of the angles in a triangle is 180°, we can write the equation:
(x+10)° + (x+20)° + (x+30)° = 180°
Combine like terms:
3x + 60° = 180°
Subtract 60° from both sides of the equation:
3x = 120°
Divide both sides by 3:
x = 40°
Now we can substitute x = 40° into (x+10)° to find the measure of the smallest angle:
40° + 10° = 50°
The measure of the smallest angle is 50°. Answer: \boxed{50°}.
he 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 60° 60 degrees 40°
1 answer