Find the number of sides of a regular polygon whose each exterior angle has a measure of 45 °.
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ext angle=45
ext angle=360/n
n=360/ext angle
n=360/45
n=8
ext angle=360/n
n=360/ext angle
n=360/45
n=8
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Answer
Total measurement of all exterior angles is equal to 360 degree
Measure of each exterior angle is equal to 45 degree ==360/45=8
(therefore the number of exterior angle)
The polygon has 8 sides
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