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chubhunter [2.5K]
2 years ago
13

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

Mathematics
1 answer:
muminat2 years ago
8 0


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) = <em>1,080 degrees</em>


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For the answer to the question above, this is a right triangle problem using the tangent function. 
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