Question

find the number of sides in a polygon of its interior angle is 1620 degrees

Answer 1

Hey!!! What's up!!!

As we know,
Sum of all interior angles of a polygon = 1620°

Let the number of sides be x.

Now,
(2n-4)×90° = 1620°
$2x - 4 = \frac{1620}{90}$
$2x - 4 = 18$
$2x = 18 + 4$
$2x = 22$
$x = \frac{22}{2}$
$x = 11$

Finally,
We get that the number of sides of the polygon is 11 as x= number of sides = 11.

Hope it helps!

Answer 2

(n-2) ×180°

So, (n-2)× 180° = 1620°
Now solve