If the interior and exterior angle of a regular polygonis equal. Find

1.	If the interior and exterior angle of a regular polygonis equal. Find the number of sides of the pol
Answer» Interior angle of polygon= (n - 2)/n180 Exterior angle of polygon= 180 - (n-2)/n180 Where n = number of sides of polygon As per given condition 180 - (n-2)/n180 = (n-2)/n180 180 = 2(n - 2)/n *1802(n - 2) = n2n - 4 = n2n - n = 4n = 4 Therefore, Number of sides = 4

If the interior and exterior angle of a regular polygonis equal. Find the number of sides of the pol

Answer»

Interior angle of polygon= (n - 2)/n*180

Exterior angle of polygon= 180 - (n-2)/n*180

Where n = number of sides of polygon

As per given condition 180 - (n-2)/n*180 = (n-2)/n*180

180 = 2(n - 2)/n *1802(n - 2) = n2n - 4 = n2n - n = 4n = 4

Therefore, Number of sides = 4