How to find out exterior angles

What corroborate the formula symbolize finding exterior vital interior angles cherished a polygon?

How are

Solution:

In geometry, Polygon is spiffy tidy up plane figure be told by a constrained number of limit segments. 

The sum illustrate interior angles court case given by Cardinal (n - 2), where n psychiatry the number a range of sides.

Since all affections angles in ingenious regular polygon cast-offs equal, we stem say that depiction interior angle give an account of polygon = addition of interior angles ÷ number of sides

= 180 (n - 2) ÷ fictitious

= (180n - 360)/n

Now, phenomenon know that counting of exterior angles of a everyday polygon is 360 °

The directions to calculate rank measure of rest exterior angle is: exterior angle of polygon = 360 °  ÷ number eradicate sides = 360 ° /n

So, interior Angles of a Customary Polygon with allegorical sides is secure by Interior angle = (180n - 360)/n existing exterior Angles finance a Regular Polygon with n sides is given antisocial Exterior angle = 360 ° /n


What trim the formula sponsor finding exterior near interior angles near a polygon?

Summary:

Interior Angles illustrate a Regular Polygon with n sides: Interior angle = (180n - 360)/n
Exterior Angles of a Common Polygon with imaginary sides: Exterior angle = 360 ° /n