Learn to find the number of sides of a regular polygon when given one exterior angle

Learn to find the number of sides of a regular polygon when given one exterior angle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the number of sides of a regular polygon when given one exterior angle, specifically 30 degrees. Initially, it mentions a method involving finding the interior angle, but then introduces a simpler approach. This method involves dividing the total sum of exterior angles, 360 degrees, by the given exterior angle, 30 degrees, to find the number of sides, which results in a 12-sided polygon. The tutorial concludes by confirming that all exterior angles are equal in a regular polygon.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the method to determine the number of sides of a polygon if one exterior angle is given?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the number of sides of a polygon using the exterior angle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the sum of all exterior angles for any polygon?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why all exterior angles of a regular polygon are equal.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

If one exterior angle of a regular polygon is 30 degrees, how many sides does the polygon have?

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