Question

find the number of sides of a polygon if the sum of its interior is 1440degree
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Answer 1

Step-by-step explanation:

We can find the sum of interior angles of every regular polygon by using

180×(n−2)180×(n−2)

n is how much sides of the polygon. Example, triangle has 3 sides, so the sum of its interior angle is 180×(3−2)=180°180×(3−2)=180°

And now back to your question, if the sum of interior angles is 1440°, so:

180×(n−2)=1440180×(n−2)=1440

n−2=1440180n−2=1440180

n−2=8n−2=8

n=10n=10 sidessides

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Answer 2

Answer:

The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. here n is number of sides

if

sum of all interior angle is = 1440

(n - 2) x 180 = 1440

n - 2 = 8

n = 10

so the number of sides is 10.

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