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Exterior Angles of Polygons

Exterior Angles of Polygons

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to determine the number of sides of a polygon by using its interior and exterior angles. It starts by identifying an interior angle of 172 degrees and calculates the corresponding exterior angle as 8 degrees. Since the sum of all exterior angles in a polygon is 360 degrees, dividing 360 by the exterior angle gives the number of sides, which is 45 in this case. This method is applicable to regular polygons and helps solve similar geometric problems.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the interior angle of the polygon mentioned in the video?

160 degrees

190 degrees

172 degrees

180 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in determining the number of sides of the polygon?

Finding the perimeter

Calculating the area

Identifying the exterior angle

Measuring the diagonal

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an interior angle is 172 degrees, what is the corresponding exterior angle?

8 degrees

18 degrees

28 degrees

38 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

They are equal

They add up to 90 degrees

They add up to 180 degrees

They add up to 360 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

360 degrees

180 degrees

270 degrees

450 degrees

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do all exterior angles of a polygon add up to 360 degrees?

Because of the shape's symmetry

Due to the sum of interior angles

It's a geometric property

It's a mathematical coincidence

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the number of sides in a regular polygon using the exterior angle?

Divide 360 by the exterior angle

Multiply the exterior angle by 360

Add the exterior angle to 360

Subtract the exterior angle from 360

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