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Number of sides from exterior angle
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FULL TUTORIAL
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You will see the left side of an equation. Then you will see and hear two possible answers for the right side of that equation.

Click on the correct answer.

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Number of sides from exterior angle
      
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Secondary math lessons to learn
'Number of sides from exterior angle' for 7th grade

Regular polygon: calculate the number of sides from the exterior angle

The exterior angle of a polygon is the angle made by one side of the polygon and the extension of the next side of the polygon. By applying the angles on a straight line rule, we know that the interior angle plus the exterior angle sum to 180°. The sum of the exterior angles of polygons is always 360°.

This topic deals with regular polygons. Regular polygons have equal length sides and each of their interior angles is identical. Examples of regular polygons are equilateral triangle, square, regular hexagon, etc. Because their interior angles are identical, their exterior angles are also identical. The formula for calculating the number of sides of a regular polygon given it's exterior angle is:

Number of sides = 360° / E

(where 360° = total of exterior angles and E = exterior angle of polygon)

So, for a regular polygon with an exterior angle of 120°, the number of sides is:

360° / 120° = 3

For a regular polygon with an exterior angle of 90°, the number of sides is:

360° / 90° = 4

For a regular polygon with an exterior angle of 72°, the number of sides is:

360° / 72° = 5

With these interactive math lessons you will be learning "Number of sides from exterior angle" from
7th grade / Geometry & measures / Polygons in 3 easy steps. The math in our lessons consists of 6 questions that ask you to use the exterior angle to calculate the number of sides for each regular polygon.

Show lesson introduction
1 / 6
The number of sides a regular polygon with an exterior angle of 120° has is 3
120°
3
2 / 6
The number of sides a regular polygon with an exterior angle of 90° has is 4
90°
4
3 / 6
The number of sides a regular polygon with an exterior angle of 72° has is 5
72°
5
4 / 6
The number of sides a regular polygon with an exterior angle of 60° has is 6
60°
6
5 / 6
The number of sides a regular polygon with an exterior angle of 51.4° has is 7
51.4°
7
6 / 6
The number of sides a regular polygon with an exterior angle of 45° has is 8
45°
8

There are 3 easy math lesson activities in this "Number of sides from exterior angle" tutorial. These activities progress step by step to help you the learner gradually master this math topic. The activities are based on "3 stage questioning", a method of learning that quickly and easily builds your confidence as you work through the short series of lessons that strengthen your knowledge of the math that you want to learn.

When you have completed the tutorial for a topic, you should try some of our games before finally doing the test for your chosen topic. See the Help box below for detailed instructions on how to use the lesson activities to help you learn your math more easily.

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How to use our tutorials to learn
'Number of sides from exterior angle' for 7th grade

Introduction to the math topic

You start the tutorial with a lesson that introduces the math you will be learning. You will see a set of questions one at a time, and for each question you will see the written answer and also hear the answer to that question.

Repeat the question/answer by clicking on the brown speaker sign. Repeat the question/answer and expand the question graphic by clicking on the question box. Move between questions using the arrow buttons below the question. If there is additional information available for your chosen topic, the "i" button on the left upright bar will be brown on white. Click on the button to load the additional lesson information into the main interface.


Either / Or math lesson

This lesson moves on from the "Introduction" lesson and offers you two possible answers to each question. So, you will see a question then a voice will ask "Is this ... or is it ..." and you will have to choose which of the answers is the one that matches the question.

You choose an answer by clicking or tapping on one of the two answer boxes below the question. You can play the audio for each answer again by clicking on the speaker icon beside the written answer (if robot speech is available and enabled). The program will let you know each time whether you answered correctly. A star will light up red for a wrong answer or white/black for a correct answer.

This lesson asks you the questions in a random order compared to the introduction. At the end of the lesson, you can choose whether to repeat the lesson or move on to the next one.


What is it? math lesson

The final lesson of the tutorial shows you multiple possible answers for each question - you must choose the correct one. You are asked a question and below it are a list of two, three, or four possible written/numeric answers from this topic. Pressing the speaker icon will play the math audio for that answer.

For each picture, click on the answer that matches the question. The program will tell you whether you are right or not. As with the Either / Or activity a system of stars indicate your right and wrong answers. The What is it? lesson will show you all the questions you learned in the Introduction but in a random order.


When you complete the "What is it?" lesson, you can choose whether to go on to play some games with this topic, or whether you want to repeat some or all of the lesson activities in this tutorial. You should expect to get 80% of the answers correct in most of the activities before trying some of the Math games with this topic.

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