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algol [13]
3 years ago
14

Find the value of x

Mathematics
1 answer:
anzhelika [568]3 years ago
5 0

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      <em>subtract 815 from both sides</em>

3x = 265     <em>divide both sides by 3</em>

<h3>x = 88 1/3</h3>
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