Question

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

Answer 1

Answer:

That would be 24 sided polygon at 165 degree and that would change accordingly to be precise

Answer 2

$\sf\huge\underline\pink{\dag \: Solution \: \dag}$

Given :

Let number of side be = n

Interior angle = 165°

Exterior angle ( x )

= 180° - 165°

= 15°

Now ,

$\sf \: n = \sf \frac{360°}{x}$

$\boxed{ \sf = n = \frac{ \cancel{360°}}{ \cancel{15°}} }$

$\dag \small \sf \: n = 24°$