Question

23 the sum of all interior angles of a regular polygon is 1080° find the no. of sides of the polygon.

Answer 1

Solution:-
For finding the interior angle of polygon we use the formula,that is,=>180(n-2)
Where n is equal to number of sides
A/q
$= > 180(n - 2) = 1080$
We have to find the value of n here.
$= > 180(n - 2) = 1080 \\ = > n - 2 = \frac{1080}{180} \\ = > n - 2 =6 \\ = > n = 6 + 2 \\ = > n = 8$

So,the polygon whose sum of all interior angle is 1080° have 8 sides.

Answer 2

sum of interior angle =(n-2)×180 degree.

=1080/180

=n-2=6

Rio =n=6+2

=n=8 answer

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