Question

can a polygon have the sum of its interior angle as 2160°​

Answer 1

Answer:

The formula for the sum of the interior angles of a n-sided polygon is given by (n-2) x 180°, where n is the number of sides. Expand the formula to get 180n - 360°.

Since we are given the interior angle sum of 2160°, the new equation will be 2160°=180n -360°.

Add 360° to both sides: 2520 = 180n

Divide both sides by 180 to get n on one side: n = 2520/180

And n will be 14!

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