Question

if a regular polygon has each angle 144 degrees then find the numbers of diagonals

Answer 1

Answer:

Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees.

Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees.For any convex polygon (in particularly, for any regular polygon) the sum of exterior angles is 360 degrees.

Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees.For any convex polygon (in particularly, for any regular polygon) the sum of exterior angles is 360 degrees.Hence, the number of sides = the number of vertices = 360%2F36 = 10.

Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees.For any convex polygon (in particularly, for any regular polygon) the sum of exterior angles is 360 degrees.Hence, the number of sides = the number of vertices = 360%2F36 = 10.Answer. Your polygon is decagon with 10 sides (vertices).