The sum of the angles in a triangle is always 180 degrees. Therefore, we can set up the equation:
(x+10) + (x+20) + (x+30) = 180
Simplifying the equation gives:
3x + 60 = 180
Subtracting 60 from both sides:
3x = 120
Dividing both sides by 3:
x = 40
Substituting x = 40 into the expressions for the angles gives:
Smallest angle = x + 10 = 40 + 10 = 50 degrees
Therefore, the measure of the smallest angle is 50 degrees.
The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.(1 point)
1 answer