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Mathematics 18 Online
OpenStudy (anonymous):

If the measure of an exterior angle of a regular polygon is 24, how many sides does the polygon have?

OpenStudy (anonymous):

exterior angle? Can you draw which one it is?

OpenStudy (anonymous):

360/n = 24

OpenStudy (anonymous):

n is the number of sides

OpenStudy (anonymous):

To do this, we have to remember two things: 1. The exterior angles of a polygon ALWAYS add up to 360 degress 2. A regular polygon's angles are all equal (including exterior) So, every exterior angle is 24 \[n=360/24\] \[n=15\]

OpenStudy (anonymous):

How is it then called exterior angle? That is the angle between two adjacent vertices and the center of the polygon.

OpenStudy (anonymous):

i think exterior angle is 180 - interior angle

OpenStudy (anonymous):

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