Your student or child will need to know how to calculate the angles of polygons. Cazoom Math has supplied a number of various different polygons worksheets along with the answers and formulas. Your student or child will soon be a pro at identifying different types of polygons, as well as calculate the interior and exterior angles of regular and irregular polygons. All of our polygons worksheets are suitable for all abilities.

## Printable PDF Common Core Aligned Polygons Worksheet with Answers

Cazoom Maths has provided a number of different polygons worksheets suitable for all abilities. You will find a worksheet here with everything you need when identifying and naming polygons as well as the formulas for calculating  the angles.

### WHAT IS A POLYGON?

Polygons are flat two-dimensional shapes that are made of straight lines. All the lines need to be connected up, creating a closed shape. The polygons can have any number of sides.

### WHAT IS A REGULAR POLYGON?

A regular polygon has all sides and angles equal. If the sides and angles are not equal then it is an irregular polygon.

### WHAT IS THE DIFFERENCE BETWEEN CONCAVE OR CONVEX POLYGON?

The angles of a convex polygon are all pointing inward, meaning that no internal angle can be more than 180°. If an angle is greater than 180°, then the polygon is concave.

### DIFFERENCE BETWEEN SIMPLE AND A COMPLEX POLYGON

The border of a simple polygon has only one boundary and isn’t crossing over itself, while the complex one does.

### HOW TO CALCULATE THE SIZE OF THE ANGLES IN A REGULAR POLYGON

It is really important to always remember that the sides and angles of a regular polygon are all equal.

The formula for calculating the size of the angles is really easy.

Formula = (n-2) x 180° : n

n = number of sides

Example: Calculate the size of the angles in a regular octagon

(8-2) x 180° : 8 =  6 x 180° : 8 = 135°

Check our polygons geometry worksheets and enjoy having fun practicing this topic.