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A stop sign is a regular octagon with eight congruent angles. What is the sum of the measures of the interior angles?

A stop sign is a regular octagon with eight congruent angles. What is the sum of the-example-1

1 Answer

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The formula for the sum S of interior angles of a polygon is:

S = (n - 2) * 180º

where n is the number of sides of the polygon.

Thus, since an octagon has 8 sides, the sum of the measures of the interior angles is:

S = (8 - 2) * 180º = 6 * 180º = 1080º

Therefore, the third option is correct.

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