Given one exterior angle, learn how to find the number of sides of a polygon ex 2

Given one exterior angle, learn how to find the number of sides of a polygon ex 2

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 given one exterior angle. It covers the relationship between exterior and interior angles, showing that they are supplementary and add up to 180 degrees. The tutorial then introduces a formula to calculate the number of sides using the interior angle. A step-by-step solution is provided, demonstrating how to solve for the number of sides, resulting in the conclusion that a polygon with an exterior angle of 45 degrees is an octagon.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you solve for the number of sides (N) in a regular polygon if the interior angle is known?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the number of sides of a polygon if the exterior angle is 45 degrees?

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