Determine the measure of each exterior angle of a regular octagon

Determine the measure of each exterior angle of a regular octagon

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the measure of each exterior angle in a regular polygon, specifically an octagon. It emphasizes that the sum of all exterior angles in any polygon is always 360 degrees. The tutorial guides through the process of calculating the measure of one exterior angle by dividing the total sum by the number of sides. It also clarifies the concept of regular polygons, where all angles and sides are equal, and demonstrates the calculation using an octagon as an example.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

720 degrees

180 degrees

360 degrees

540 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a regular polygon, how are the exterior angles related?

They are all different

They are all equal

They are twice the interior angles

They sum up to 180 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are the exterior angles of a regular polygon equal?

Because the sum of the exterior angles is 180 degrees

Because the interior angles are equal

Because the sides are of different lengths

Because the interior angles are different

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the measure of one exterior angle in a regular polygon?

Subtract the number of sides from 360

Multiply the number of sides by 360

Divide 360 by the number of sides

Add the interior angles and divide by the number of sides

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a regular polygon has 8 sides, what is the measure of one exterior angle?

30 degrees

40 degrees

45 degrees

50 degrees