The three angles of a triangle measure 5x - 30, x + 10, and 6x - 40. What

is the measure of the smallest angle in degrees?

Step-by-step explanation:

Interior angle sum of a triangle is 180°

therefore 180=5x-30+x+10+6x-40, simplifying like terms gives us

180=12x-60, solving for x leaves us with x=20.

angle 1 = 5x-30 = 100-30=70

angle 2 = x+10 = 20+10=30

angle 3 = 6x-40 = 120-40=80

In conclusion the smallest angle has a measure of 30°