find the sum of the interior angle measures of a convex octagon

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06-01-2015
Mathematics

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find the sum of the interior angle measures of a convex octagon

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AL2006idn AL2006idn · Answer 1 · 2015-01-06T12:13:05-05:00

AL2006idn AL2006idn

06-01-2015

The sum of the interior angles of any polygon is always . . .

(180 degrees ) times (2 less than the number of sides in the polygon) .

It doesn't matter whether the polygon is regular, haphazard, convex,
or all mangled and squashed etc. The only thing that matters is
how many sides it has.

The octagon has 8 sides. So the sum of interior angles is . . .

(180 degrees) times (8 - 2) = (180 x 6) = 1,080 degrees

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