Question

How many sides does a regular polygon have if each interior angle is 165°? the answer with solution will be marked as the brainliest

Answer 1

Answer:

24 sides

Step-by-step explanation:

⇒  Interior angle of given polygon =165°

 ⇒  Exterior angle of polygon =180  ° −165   = 15°

 ⇒  The sum of exterior angles of any polygon is 360°  

 ⇒  Number of sides of regular polygon =  360 /15  = 24

The regular polygon will have 24 sides if each interior angle is 165°