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360
Measureof each exterior angle of a regular polygon=
Where n = no. of sides of regular polygon
360
No. of sides of a regular polygon=
Example: Find the number of sides of a regular polygon whose each exterior angle has
a measure of 45°.
Solution: Total measure of all exterior angles = 360°
Measure of each exterior angle = 45°
Therefore, the number of exterior angles = 360/45 = 8
∴The polygon has 8 sides.
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