Math, asked by bhawnabehal51, 9 months ago


The sum of the interior angles of a polygon is 2160°. How many sides does this polygon
have?

Answers

Answered by riya2093
6

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!

Hope this helps,

Answered by lilia12
1

Answer:

n will be 14......hope this helps....

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