7.1 Angles of Polygons

Polygons by name:

• A 3-sided polygon is called a TRIANGLE

• A 4-sided polygon is called a QUADRILATERAL

• A 5-sided polygon is called a PENTAGON

• A 6-sided polygon is called a HEXAGON

• A 8-sided polygon is called an OCTAGON

• A 9-sided polygon is called a NONAGON

• A 10-sided polygon is called a DECAGON

• A 11-sided polygon is called an UNDECAGON OR HENDECAGON

• A 12-sided polygon is called a DODECAGON

Multiple Choice

How many sides does a hexagon have?

• 4

• 5

• 8

• 6

Multiple Choice

How many sides does a nonagon have?

• 9

• 5

• 8

• 6

Multiple Choice

Find the Interior Angle Sum of a Hexagon

• 360

• 720

• 1080

• 1260

Multiple Choice

A polygon has 13 sides. What is the sum of its interior angles?

• $$1,300\degree$$

• $$1,620\degree$$

• $$1,980\degree$$

• $$2,340\degree$$

Fill in the Blank

The sum of the measures of the interior angles of a polygon is 2520. How many sides does the polygon have?

Multiple Choice

Find the value of X.

• 100 degrees

• 120 degrees

• 125 degrees

• 130 degrees

​Special Polygons

​Interior Angles of Polygons

Fill in the Blank

What is the measure of each interior angle of a regular 18-gon?

​Polygon Exterior Angles

​Polygon Exterior Angles

​Polygon Exterior Angles

​Find the value of x.

​Polygon Interior/Exterior Angles

​The trampoline is shaped like a regular dodecagon. Find the measure of each:

a. Interior Angle _________

b. Exterior Angle _________

​Polygon Interior/Exterior Angles

​The trampoline is shaped like a regular dodecagon. Find the measure of each:

a. Interior Angle _________

b. Exterior Angle _________

​Hint: If you know the measure of an interior angle of a regular polygon, you can find the measure of each exterior angle by subtracting from 180. The interior and exterior angles form a Linear Pair!

Multiple Choice

What is the measure of ONE interior angle in a regular pentagon (5-sides)?

• 90°

• 108°

• 120°

• 180°

Multiple Choice

Find the angle SUM of the interior angles of the polygon.

• 720°

• 900°

• 1080°

• 1260°

Multiple Choice

What is the name of a 7 sided polygon?

• hexagon

• heptagon

• octagon

• nonagon

Multiple Choice

Solve for a.

• 90°

• 180°

• 270°

• 80°

Multiple Choice

The following polygon is a Regular Pentagon. Find the measure of EACH EXTERIOR angle of the polygon.

• 50°

• 55°

• 72°

• 355°

​Assignment...

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Complete "Angles in Polygons"

Mathematics | Geometry