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If the exterior angle of a regular polygon is 7.2 degrees, what is the name of that polygon?

Answer choices:
25-gon
Heptagon
50-gon
Hexagon​

Sagot :

A regular polygon with exterior angle of 7.2 degrees is a 50-gon.

Regular polygon

Regular polygon are polygon that are equiangular. This simply means they are polygon with equal angles.

The formula to find the number of sides of a polygon using exterior angle is as follows:

  • exterior angle = 360 / n

where

n = number of sides

Therefore,

7.2 = 360 / n

cross multiply

7.2n = 360

divide both sides by 7.2

n = 360 / 7.2

n = 50

The polygon has 50 sides. Therefore, it is a 50-gon

learn more on polygon here: https://brainly.com/question/12105506

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