Question

For a polygon with 10 sides, which equation below represents the sum of the interior angles in the polygon?

Answer 1

The sum of the interior angles in the polygon whose side is 10 is $1440^{0}$

What is sum of interior angle of polygon ?

The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon.

As, The formula for calculating the sum of interior angles is ( n − 2 ) × $180^{0}$

S0, n=10

Then, sum of interior angle be = (n-2) x 180

                                                   = (10-2) x 180

                                                   = 8 x 180

                                                   $= 1440^{0}$

Thus, the sum of the interior angles in the polygon is $1440^{0}$

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