Question

Find the value of the variable. Then find the angle measures of the polygon. The sum of the angle measures of a Triangle is 180.

Answer 1

m = 42.5(°)

Explanation:

Knowing the sum of the angle measures of a triangle is 180°, we know that 2m + m + (m + 10) = 180 because m, 2m, and m+10 are the angle measures. Now we can add like terms, getting 4m + 10 = 180. You would subtract 10 from both sides to get 4m = 170. You then divide both sides by 4 to isolate m, getting m =
`(170)/(4)`, or 42.5 if you divide 170 by 4.