Question

If the sum of all interior angles of a polygon is 8640°, find the number of side​

Answer 1

Step-by-step explanation:

The rule is that a polygon with n sides has a sum on interior angles given by 180∘(n−2) . n=8640∘180∘+2=48+2=50 .

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Answer 2

᪥︎Question:-

• If the sum of all interior angles of a polygon is 8640°, find the number of side

︎Given:-

• interior angles of a polygon is 8640°

❈To find:-

• The number of sides.

✪Solution:-

• We know that a plolygon with n sides has a sum of interior angles denoted by = 180°(n-2)

$\longrightarrow \: 180 \degree \: (n - 2) = 8640 \degree \:$

Then,

$n = \frac{8640 \degree}{180 \degree} + 2$

$= 48 + 2 = 50$

$\underline{ \boxed { \pink{ \mathbf{Therefore \: their \: are \: 50 \: sides \: on \: the \: polygon.}}}}$