The sum of the interior angles of a polygon is 8280°. How many sides does the polygon have?

Mathematics

2 answers:

Ksivusya [100]4 years ago

7 0

The side will = to 48

devlian [24]4 years ago

4 0

The equation to find the sum of interior angles of a n-sided polygon is:

(n - 2) * 180

So, we don't know what n is but we can make it look like this:

(n - 2) * 180 = 8,280

Solve for n.

(n - 2) * 180 = 8,280

~Divide 180 to both sides

(n - 2) * 180/180 = 8,280/180

~Simplify

n - 2 = 46

~Add 2 to both sides

n - 2 + 2 = 46 + 2

~Simplify

n = 48

Therefore, the polygon has 48 sides.

Best of Luck!

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