Polygons: Interior and Exterior Angles

Polygons

Interior and Exterior Angles

Interior and Exterior Angles

Use the notes and examples from this week to help answer the following problems. These will be VERY helpful for an upcoming quiz!

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For a regular NONAGON, find the measure of one interior angle. _____ $$\degree$$  

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For a regular 15-gon, find the measure of one interior angle. ___ $$\degree$$  

Interior Angle Sum

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If the sum of interior angles of a polygon is  $$900\degree$$  , how many sides does the polygon have?

Answer: 7 sides

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If the sum of the interior angles of a polygon is $$2880\degree$$ , how many sides does the polygon have? 

Exterior Angles

Multiple Choice

Select the correct values for a and m.

• a=50, m=89

• a=50, m=116

• a=105, m=89

• a=105, m=116

Fill in the Blank

What is the value of each exterior angle of a regular 20-gon? ____ $$\degree$$   

Measure of Each Exterior Angle (for regular polygons)

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The measure of an exterior angle of a regular polygon is $$45\degree$$  .

Find the number of sides of the polygon. 

Answer: 8 sides

Interior and Exterior Angles

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Practice: The measure of an interior angle of a regular polygon is  $$144\degree$$  . How many sides does the polygon have?

Answer: 10 sides

Fill in the Blank

Practice:  If the measure of one interior angle of a regular polygon is $$160\degree$$  , find the number of sides. 

Open Ended

Is it possible for a regular polygon to have an interior angle measure of

$$158\degree$$  ? Explain why or why not. 

You're Done! But...

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