Question

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

Answer 1

Answer:

24 sides

Step-by-step explanation:

The formula for each interior angle is ((n-2)180)/n

Where n is the number of sides

So , if each interior angle is 165 then,

{(n-2)180}/n = 165

(180 n - 360) / n=165

180 n - 360 = 165 n

180 n - 165 n = 360

15 n = 360

n = 360/15

n=24