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

User Beanish
by
8.4k points

2 Answers

3 votes

Answer:

8

Explanation:

It's an octagon

User MuraliGanesan
by
8.2k points
3 votes

9514 1404 393

Answer:

8

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.

User MrRobboto
by
7.8k points

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