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Biblioteka

Interior Angle Sums in Polygons

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Posljednje ažuriranje over 4 years ago
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Please complete each of the below examples to the best of your ability.

Use one of the following two strategies for determining the interior angle sum for a polygon:

1) Draw diagonals to create triangles, which have an interior angle sum of 180⁰. In the blue pentagon below, two diagonals create three triangles → 180 • 3 = 540⁰ interior angle sum

2) Use the formula method >>> (n − 2) • 180, where n = the number of the sides. The blue quadrilateral below has four sides. Substitute 4 in for n → (4 − 2) • 180 = 360⁰ interior angle sum

You can also use your notes and/or the following videos for assistance as needed.

Pitanje 1
1.

Find the measure of the fourth interior angle.

Pitanje 2
2.

The figure below displays a hexagon. What is the measure of angle x?

Pitanje 3
3.

Using a method of your choice, determine the sum of the interior angles within this regular nonagon.

Please type just the number!

Pitanje 4
4.

Using a method of your choice, determine the sum of the interior angles within this regular heptagon.

Please type just the number!

Pitanje 5
5.

Using a method of your choice, determine the sum of the interior angles within this irregular hexagon. Then, solve for the measure of angle x.

Please type just the number!

Pitanje 6
6.

Using a method of your choice, determine the sum of the interior angles within this irregular heptagon. Then, solve for x.

Please type just the number!

Pitanje 7
7.

Determine the measure of each individual interior angle in a regular hexagon (six-sided figure).

Please type just the number!

Pitanje 8
8.

Determine the measure of each individual interior angle in a regular dodecagon (12-sided figure).

Please type just the number!

Pitanje 9
9.

Find the number of sides in a polygon whose sum of the interior angles is 1800.

Please type just the number!

Pitanje 10
10.