How to determine the number of sides when given one exterior angle ex 1

How to determine the number of sides when given one exterior angle ex 1

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. It covers the relationship between exterior and interior angles, using equations to find the interior angle, and solving for the number of sides. An example with a hexagon is used to illustrate the concept of linear pairs and supplementary angles. The tutorial concludes by verifying the solution with an equilateral triangle, demonstrating the process of using given angles to determine the number of sides.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the exterior angle and the interior angle of a polygon?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of finding the interior angle from a given exterior angle.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula used to calculate the number of sides of a polygon based on the interior angle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

If the measure of one interior angle is 60 degrees, how many sides does the polygon have?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine the number of sides of a regular polygon if you are given one exterior angle?

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