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Learning Math Home
Measurement Session 4, Part B: Angles in Polygons
 
Session 4 Part A Part B Part C Homework
 
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Session 4, Part B:
Angles in Polygons

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

Print several copies of the sample polygons (PDF) and cut out the polygons. These are based on Power Polygons, a set of 15 different plastic polygons, each marked with a letter.

There are numerous ways of classifying angles. One way is according to their measures.

Problem B1

Solution  

Identify a polygon that has at least one of the following angles:

a. 

Acute angle (an angle between 0 and 90 degrees)

b. 

Right angle (an angle equal to 90 degrees)

c. 

Obtuse angle (an angle between 90 and 180 degrees)


 

Problem B2

Solution  

a. 

Without using a protractor, find two obtuse angles. Are they in the same polygon? How did you identify them? What do you notice about the other angles in the polygon(s) that has or have an obtuse angle?

b. 

Find a polygon with two or more acute angles.

c. 

Find a polygon with two or more obtuse angles.

d. 

Find a polygon with two or more right angles.

e. 

Can a triangle have two obtuse angles? Why or why not?

f. 

Can a triangle have two right angles? Why or why not?


Stop!  Do the above problem before you proceed.  Use the tip text to help you solve the problem if you get stuck.
Try to draw a triangle with two right angles or two obtuse angles. What happens?   Close Tip

 

Problem B3

Solution  

Which polygons are equilateral triangles (all three sides are equal), isosceles triangles (two sides are equal), or scalene triangles (no sides are equal)? What can you say about the angles in each of these triangles?


Next > Part B (Continued): Other Classifications

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