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Match the figure at the right with the number that represents the value of one exterior angle for that figure

Match the figure at the right with the number that represents the value of one exterior-example-1
User Danmanstx
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1 Answer

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The exterior angles of a regular polygon are all equal and their sum is 360º. This is so for any regular polygon.

So to calculate the measure of one exterior angle of a regular polygon you have to divide 360º by the number of sides of the polygon.


(360º)/(n)

Where "n" is the number of sides.

1) The first polygon is a pentagon, with n=5 sides

The measure of one of its external angles is:


(360)/(5)=72º

2) The second polygon is a square, with n=4 sides.

The measure of one of its external angles can be calculated as:


(360)/(4)=90º

3) The third polygon is an octagon, with n=8 sides.

The measure of one of its external angles can be calculated as:


(360)/(8)=45º

4) The fourth polygon is a hexagon, with n=6 sides.

The measure of one of its external angles can be calculated as:


(360)/(6)=60º

User Xavier Taylor
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