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What is the angle sum of a polygon with 9 sides?

Answer 1

#1260˚#

A nonagon can have #6# diagonals drawn inside of it to form #7# interior triangles.

Every triangle's angles have a sum of #180˚#. Therefore, since there are #7# triangles, the sum of the interior angles in a nine-sided polygon is

#7xx180˚=1260˚#

This can be generalized to a polygon with #n# sides, since #n-2# triangles can be drawn in any polygon. Thus, the formula is

#180˚(n-2)#

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Answer 2

Mason Adams

The angle sum of a polygon with 9 sides can be found using the formula: (n - 2) * 180 degrees, where n represents the number of sides in the polygon. Substituting n = 9 into the formula, we get: (9 - 2) * 180 = 7 * 180 = 1260 degrees. Therefore, the angle sum of a polygon with 9 sides is 1260 degrees.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.