Question

The Three angles of a triangle have measures 7x+6,10x-8 and 5x+3.What is the measure of the smallest angle?

Answer 1

43 15/22 degrees

Explanation:

The three angles add to 180 degrees

7x+6 +10x-8 + 5x+3 = 180

Combine like terms

22x +1 = 180

Subtract 1 from each side

22x +1-1 =180-1

22x = 179

Divide each side by 22

22x/22 = 179 /22

x =179/22

The smallest angle is

5x+3

5(179/22) +3

895/22 +3

40 15/22 +3

43 15/22 degrees