If the sum of the interior angles of a polygon is 1,980°, how many sides does it have?

1 Answer
CW
Apr 25, 2017

#"the polygon has 13 sides"#

Explanation:

Sum of interior angles #S=(n-2)xx180^@#,
where n is the number of sides of the polygon.

Given #S=1980^@#
#=> 1980=(n-2)xx180#
#=> n-2=1980/180=11#
#=> n=11+2=13#

Hence, the polygon has #13# sides.

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