# Polygons Worksheet with Answers

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.