Question

a regular polygon with each interior angle equal to 105 degree

Answer 1

here is your answer OK

firstafall you

360, you will not get a discrete answer, i.e. the number of sides of the polygon will not be an integer. suppose you are told that the interior angle is 75 degrees. the exterior angle is equal to 105 degrees. 360 / 105 = 3.428571429 which means the polygon has 3.428571429 sides.

Answer 2

Number is sides = 180 (n-2) Where n is number of sides. 105n = 180 (n-2) 105n = 180n - 360 75n = 360 n = 4 Hence 4 sides.