Question

the measure pf each interior angle of a regular polygon ps 165 degrees. fimd tje number of sides of a polygon.​

Answer 1

Step-by-step explanation:

we know sum of the interior angles of a polygon of number of sides n is

S=(n-2).180°

so,

(n-2).180°/n=165

=> 180 n-360=165n

=> 180n-165n=360

=> 15n=360

=> n=360/15=24

number of sides of the polygon is 24