Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

Search
MENU
Learning Math Home
Measurement Session 4, Part B: Angles in Polygons
 
Session 4 Part A Part B Part C Homework
 
Glossary
measurement Site Map
Session 4 Materials:
Notes
Solutions
Video

Session 4, Part B:
Angles in Polygons

In This Part: Classifying by Measure | Other Classifications | Measuring Angles
Sums of Angles in Polygons

We determined that the sum of the measures of the angles of a triangle is 180 degrees. Notice in this diagram that the diagonal from one vertex of a quadrilateral to the non-adjacent vertex divides the quadrilateral into two triangles:

The sum of the angle measures of these two triangles is 360 degrees, which is also the sum of the measures of the vertex angles of the quadrilateral. Note 5

Take it Further

Problem B12

 Solution

a. 

Use this technique of drawing diagonals from a vertex to find the sum of the measures of the vertex angles in a regular pentagon (see below). What is the measure of each vertex angle in a regular pentagon?

b. 

How many triangles are formed by drawing diagonals from one vertex in a hexagon?

c. 

What is the sum of the measures of the vertex angles in a hexagon?

d. 

Find a rule that can be used to find the sum of the vertex angles in any polygon.

e. 

Can you use your rule to find the measure of a specific angle in any polygon? Why or why not?


 


video thumbnail
 

Video Segment
In this video segment, the participants explore the sum of the angles in different polygons. Laura demonstrates a method that will work for any polygon.

Can the measure of individual angles be determined based on dividing the polygon into triangles? Why or why not?

If you are using a VCR, you can find this segment on the session video approximately 13 minutes and 10 seconds after the Annenberg Media logo.

  

Next > Part C: Geo-Logo

Learning Math Home | Measurement Home | Glossary | Map | ©

Session 4: Index | Notes | Solutions | Video

Home | Catalog | About Us | Search | Contact Us | Site Map

| Follow The Annenberg Learner on Facebook

© Annenberg Foundation 2013. All rights reserved. Privacy Policy