What is the measure of each exterior angle of a 12 gon

What is the measure of each exterior angle of a 12 gon

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the measure of exterior angles in regular polygons. It begins by defining exterior angles and their properties in regular polygons, where all sides and angles are equal. The tutorial highlights that the sum of all exterior angles in any polygon is always 360 degrees, regardless of the number of sides. It then demonstrates how to calculate the measure of each exterior angle by dividing 360 by the number of sides in the polygon. The example of a 12-sided polygon (dodecagon) is used to illustrate this calculation, resulting in each exterior angle measuring 30 degrees.

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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?

540 degrees

720 degrees

360 degrees

180 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a regular pentagon, how do you find the measure of each exterior angle?

Divide 180 by 4

Divide 180 by 5

Divide 360 by 5

Divide 360 by 4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a triangle is regular, what is the measure of each of its exterior angles?

120 degrees

180 degrees

60 degrees

90 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the measure of each exterior angle in a regular polygon with 'n' sides?

180 divided by n

360 divided by n

540 divided by n

720 divided by n

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of each exterior angle in a regular dodecagon?

15 degrees

20 degrees

30 degrees

40 degrees