# What are the formula for finding exterior and interior angles of a polygon?

In geometry, Polygon is a plane figure formed by a finite number of line segments.

## Answer: Interior Angles of a Regular Polygon with n sides: Interior angle = (180n - 360)/n

## Exterior Angles of a Regular Polygon with n sides: Exterior angle = 360^{°}/n

We will use the formula of the sum of interior angles and exterior angles to answer this question.

**Explanation:**

The sum of interior angles is given by 180 (n - 2), where n is the number of sides.

Since all interior angles in a regular polygon are equal, we can say that the interior angle of polygon = sum of interior angles ÷ number of sides

= 180 (n - 2) ÷ n

= (180n - 360)/n

Now, we know that sum of exterior angles of a regular polygon is 360^{°}

The formula to calculate the measure of an exterior angle is: exterior angle of polygon = 360^{°} ÷ number of sides = 360^{°}/n

### So, interior Angles of a Regular Polygon with n sides is given by Interior angle = (180n - 360)/n and exterior Angles of a Regular Polygon with n sides is given by Exterior angle = 360^{°}/n

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