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

sum = (360)(10) = 3600°

sum = (360)(8) = 2880°

sum = (180)(8) = 1440°

sum = (180)(10) = 1800°

Respuesta :

The sum of the interior angles in the polygon whose side is 10 is [tex]1440^{0}[/tex]

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 ) × [tex]180^{0}[/tex]

S0, n=10

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

                                                   = (10-2) x 180

                                                   = 8 x 180

                                                   [tex]= 1440^{0}[/tex]

Thus, the sum of the interior angles in the polygon is [tex]1440^{0}[/tex]

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