Given the number of sides of a regular polygon find the measure of each interior angle

Given the number of sides of a regular polygon find the measure of each interior angle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial explains how to calculate the interior and exterior angles of a regular heptagon. It begins with an introduction to regular polygons and the formula for finding interior angles. The tutorial then demonstrates the calculation of interior angles for a heptagon, followed by an explanation of exterior angles and their relationship with interior angles as linear pairs. Finally, it shows how to solve for exterior angles using the concept of supplementary angles.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula to calculate the measure of one interior angle in a regular polygon?

360 degrees divided by the number of sides

Sum of all exterior angles divided by the number of sides

180 degrees divided by the number of sides

Sum of all interior angles divided by the number of sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many degrees is the sum of the interior angles of a heptagon?

720 degrees

900 degrees

1080 degrees

1260 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of one interior angle in a regular heptagon?

128.57 degrees

180 degrees

90 degrees

51.43 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between an interior angle and its corresponding exterior angle in a regular polygon?

They are congruent

They are complementary

They are equal

They are supplementary

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

128.57 degrees

90 degrees

51.43 degrees

180 degrees