2.2k views
2 votes
Find the value of x

Find the value of x-example-1
User Jannes
by
5.7k points

1 Answer

5 votes

The sum of the measures of angles in the polygon with n angles is

180°(n - 2)

We have an octagon → n = 8.

The sum of the measures of angles in an octagon is

180°(8 - 2) = 180°(6) = 1080°

The equation:

x + 139 + 140 + 125 + 116 + 152 + 2x + 143 = 1080

3x + 815 = 1080 subtract 815 from both sides

3x = 265 divide both sides by 3

x = 88 1/3


User Knells
by
5.4k points