Question

If the difference between each interior angle and exterior angle of a regular polygon is ,find the number of sides of the polygon.​

Answer 1

Answer:

6

Step-by-step explanation:

Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15.

Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.

Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. For example, if the measurement of the exterior angle is 60 degrees, then dividing 360 by 60 yields 6. Six is the number of sides that the polygon has.