How to find the measure of one exterior angle of a regular polygon

How to find the measure of one exterior angle of a regular polygon

Assessment

Interactive Video

Mathematics, Engineering

11th Grade - University

Hard

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The video tutorial explains the concept of exterior angles in polygons, emphasizing that the sum of exterior angles in any polygon is always 360 degrees. It further explores the calculation of individual exterior angles in a regular octagon, highlighting the relationship between interior and exterior angles as supplementary. The tutorial provides a step-by-step approach to finding these angles using formulas and reinforces the understanding of geometric properties.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

180 degrees

720 degrees

360 degrees

540 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a regular polygon, if all sides are equal, what can be said about the exterior angles?

They are all different.

They are all equal.

They are all zero.

They are all 180 degrees.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of one exterior angle in a regular octagon?

60 degrees

45 degrees

30 degrees

90 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the measure of an exterior angle if you know the interior angle?

Add 90 degrees to the interior angle.

Subtract the interior angle from 180 degrees.

Multiply the interior angle by 2.

Divide the interior angle by 2.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to calculate the interior angle of a regular polygon?

(n + 2) * 180 / n

n * 360 / (n - 2)

n * 180 / (n - 2)

(n - 2) * 180 / n