How to find the measure of an individual angle when given the sum of interior angles

How to find the measure of an individual angle when given the sum of interior angles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to calculate the measure of an interior angle of a regular polygon when given the sum of all its interior angles. It introduces the formula for the sum of interior angles, which is (n-2) * 180, where n is the number of sides. The tutorial demonstrates how to solve for n when the sum is known and then how to find the measure of one interior angle by dividing the sum by the number of sides.

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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 sum of all interior angles of a regular polygon?

Sum = n * 360

Sum = (n + 2) * 180

Sum = n * 180

Sum = (n - 2) * 180

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find the measure of one interior angle of a regular polygon?

Subtract the number of sides from the sum of the angles

Divide the sum of the angles by the number of sides

Add the number of sides to the sum of the angles

Multiply the sum of the angles by the number of sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the sum of the interior angles of a polygon is 1260 degrees, what is the number of sides?

10

9

8

7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of an individual interior angle of a polygon with 9 sides?

120 degrees

130 degrees

140 degrees

150 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which step is necessary to find the measure of an individual angle after determining the number of sides?

Multiply the sum by the number of sides

Add the number of sides to the sum

Divide the sum by the number of sides

Subtract the number of sides from the sum