Question

how many sides does a regular polygon have if each of its interior angle is 165 degree?​

Answer 1

hey buddy....

here's your answer....

You know that each of the interior angles is 165 degrees so that gives you half of your equation, 165 times n, or 165n.

Second, set your interior angles equal to the interior angle formula (n-2)180 = 165n.

Divide by 15 to get n = 24 sides to the polygon.

hope it helps mark me as brainliest....

...

:)

Answer 2

No of sides in a polygon = 360/exterior angle
Interior angle = 165degrees
Exterior angle= 180 - interior angle (Using linear pair property)
= 180-165=15
Ext. angle = 15 degrees
No of sides=
360/15=24

Therefore there are 24 sides in the above polygon