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Han claims to have drawn a regular polygon with each exterior angle equal to $$45°.5aHelpI'm still learning how to help with this question. We won't be able to chat, but I can still give hints!LessonCalculatorToolboxMoreFirst find $$n, the number of sides of such a polygon.

Question

Han claims to have drawn a regular polygon with each exterior angle equal to 45°.5aHelpI'm still learning how to help with this question. We won't be able to chat, but I can still give hints!LessonCalculatorToolboxMoreFirst find n, the number of sides of such a polygon.

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Solution

Sure, I can help with that. The sum of the exterior angles of any polygon is 360°. If each exterior angle of the polygon is 45°, then we can find the number of sides (n) by dividing the total sum by the measure of each angle. So, n = 360° / 45° = 8. Therefore, Han's polygon has 8 sides.

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Jack claims to have drawn a regular polygon with each exterior angle equal to $$50°.9aHelpI'm still learning how to help with this question. We won't be able to chat, but I can still give hints!LessonCalculatorToolboxMoreBy using the exterior angle sum formula of an $$n-sided polygon, find the value of $$n in this case. Round your answer to one decimal place.

Exterior angle of a regular polygon is equal to interior angle. Find number of sides in polygon

If an exterior angle of a regular polygon measures 45°, how many sides does the polygon have?

Calculate the number of sides of a regular polygon, if its interior angle is 5 times its exterior angle.

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