Question

How many sides does a regular polygon have if each of it's interior angle is 165 degree? (pls give step by step expansion)​

Answer 1

Answer:

Formula for finding out sum of angles in a polygon:

180(n-2) where ‘n’ is the number of sides

Formula for finding out number of sides when interior angle is given:

180(n-2)/n where ‘n’ is number of sides

180(n-2)/n= 165

180(n-2)= 165n

180n-360= 165n

180n-165n= 360

15n= 360

N= 24

The number of sides of polygon= 24

Hope it helps

Please mark my answer as BRAINLIEST