Question

a regular polygon has an interior angle of 172°. find each exterior angle of it​

Answer 1

Answer:

45 sides

Step-by-step explanation:

A regular polygon with n sides has a total of

(n − 2)180° internal degrees.

This can be understood as the number of triangles in which the polygon can be decomposed.

A regular polygon with an interior angle of 172º has a total of n172 (n - 2)180.

Solving for n we have = n172°

So we have :

n(172) = (n-2) 180

which implies :

n = 45 sides