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# Interior Angles Of Polygon Calculator

'**Interior Angles Of Polygon Calculator**' is an online tool that helps to calculate the interior angles of each side of polygon.

## What is Interior Angles Of Polygon Calculator?

Online Interior Angles Of Polygon Calculator helps you to calculate the interior angles of the polygon in a few seconds.

### Interior Angles Of Polygon Calculator

**NOTE: **Please enter upto three digits only.

## How to Use Interior Angles Of Polygon Calculator?

Please follow the below steps to find the interior angles of the polygon:

**Step 1:**Enter the number of sides of the polygon in the given input box.**Step 2:**Click on the**"Calculate"**button to find the interior angles of the polygon**Step 3:**Click on the**"Reset"**button to find the interior angles of the polygon for different values.

## How to Find Interior Angles Of Polygon?

A polygon is defined as a two-dimensional figure, that comprises three or more straight lines. An interior angle is an angle measured between the two sides of a polygon. The interior angle at a vertex can be calculated by the following formula:

**Interior angle at one vertex = ((n - 2) × 180 ^{º}) / n**, where 'n' is the number of sides of a polygon

**Solved Examples on Interior Angles Of Polygon Calculator**

**Example 1:**

Find the interior angle of a pentagon?

**Solution:**

Interior angle at one vertex = ((n - 2) × 180^{º}) / n

For pentagon, n = 5

= ((5 - 2) × 180^{º}) / 5

= (3 × 180^{º}) / 5

= 540 / 5

= 108^{º}

Therefore, Interior angle at one vertex is 108^{º}

**Example 2:**

Find the interior angle of a triangle?

**Solution:**

Interior angle at one vertex = ((n - 2) × 180^{º}) / n

For triangle, n = 3

= ((3 - 2) × 180^{º}) / 3

= (1 × 180^{º}) / 3

= 180 / 3

= 60^{º}

Therefore, Interior angle at one vertex is 60^{º}

**Example 3:**

Find the interior angle of an octagon?

**Solution:**

Interior angle at one vertex = ((n - 2) × 180^{º}) / n

For octagon, n = 8

= ((8 - 2) × 180^{º}) / 8

= (6 × 180^{º}) / 8

= 135^{º}

Therefore, Interior angle at one vertex is 135^{º}

Similarly, you can try the calculator to find interior angles of a polygon for

1) Octagon, n = 8 2) Hexagon, n = 6

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