Transum Software

Polygon Angles Level 1

Use your ability to find internal and external angles of regular polygons to answer these questions.

Level 1 Level 2 Level 3 Level Descriptions Reminders Exam Questions More Angle Activities

Fill in the table with the names and angle sizes of the first eight regular polygons.

 NameExteriorInterior
Polygon Correct Wrong Correct Wrong Correct Wrong
Polygon Correct Wrong Correct Wrong Correct Wrong
Polygon Correct Wrong Correct Wrong Correct Wrong
Polygon Correct Wrong Correct Wrong Correct Wrong
Polygon Correct Wrong * Correct Wrong * Correct Wrong
Polygon Correct Wrong Correct Wrong Correct Wrong
Polygon Correct Wrong Correct Wrong Correct Wrong
Polygon Correct Wrong Correct Wrong Correct Wrong
Check

* Give the angles of the seven sided polygon correct to one decimal place.

This is Level 1. You can also try: Level 2 | Level 3 | Angles in Triangles | Points | Parallel Lines.

Or have fun with the new game called Polybragging.

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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Answers

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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Description of Levels

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Level 1 - Name and find the size of the angles in regular polygons.

Level 2 - Find the size of the angles marked with letters in simple diagrams.

Level 3 - A mixture of problems related to the angles in polygons.

Reminders

Regular Polygons

Each exterior angle of an n-sided regular polygon is 360° ÷ n

Each interior angle of an n-sided regular polygon is 180° − 360° ÷ n

Interior and exterior angles

All Polygons

The sum of the exterior angles of any polygon is 360°.

The sum of the interior angles of an n-sided polygon is 180(n − 2)°.

Interactive animation showing why exterior angles add up to 360°

Other angle theorems

Circle theorems

More angle activities

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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