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If a regular polygon has one exterior angle measuring 1°, then it has_______ sides.

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Konrad509idn
The measure of the exterior angle of a regular polygon is given by the formula [tex]\dfrac{360}{n}[/tex] where [tex]n[/tex] is the number of sides.
To find the number of sides of a polygon with the exterior angle measuring [tex]1^{\circ}[/tex] we have to solve the equation [tex]\dfrac{360}{n}=1[/tex].

[tex]\dfrac{360}{n}=1|\cdot n\\ n=360 [/tex]

It has 360 sides.


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