Work out the number of sides of a regular polygon with an interior angle of 172 degrees.

in t er i or an g l e = n ( n − 2 ) ∗ 180 ​ − n u mb er o f s i d es 172 = n ( n − 2 ) ∗ 180 ​ ∣ ∗ n 172 n = 180 n − 360 ∣ S u b t r a c t 180 n − 8 n = − 360 ∣ D i v i d e b y − 8 n = 45 N u mb er o f s i d e i s e q u a l t o 45.

Answered by luana | 2024-06-10

A regular polygon with an interior angle of 172 degrees has 45 sides. This is calculated using the formula for the interior angle of a polygon. By setting up the equation and solving for n , we find the solution is 45.
;

Answered by luana | 2024-12-26