Question

find the number of the sides of a regular polygon if the interior angles are are 5 times then the the exterior angles​

Answer 1

Answer:

12

Step-by-step explanation:

Let number of sides of a regular polygon = n

Let exterior angle = x

Then interior angle = 5x

x + 5x = 180°

=> 6x = 180°

⇒ x = 180°/6 = 30°

∴ Number of sides (n) = 360°/30° = 12