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If a triangle has 180 degrees, what is the sum of the interior angles of a regular octagon?
The sum of the interior angles of a polygon is given by where
= number of sides of the polygon. An octagon has 8 sides, so the formula becomes
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Find the sum of all the inner angles in a hexagon.
To solve, simply use the formula to find the total degrees inside a polygon, where n is the number of vertices.
In this particular case, a hexagon means a shape with six sides and thus six vertices.
Thus,
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