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3 years ago

The sum of the interior angles of a polygon is 1080 degrees. How many sides does the polygon have?

Mathematics

1 answer:

postnew [5]3 years ago

4 0

9514 1404 393

Answer:

Step-by-step explanation:

The formula for the number of degrees in the sum of the interior angles of an n-sided polygon is ...

sum of angles = 180°(n -2)

Filling in the given value and solving for n, we get ...

1080 = 180(n -2)

6 = n -2 . . . . . . divide by 180

8 = n . . . . . . . . add 2

The polygon has 8 sides.

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