Application
Applications Involving Angle Measures of Polygons

Applications Involving Angle Measures Problem Set

Using what you have learned about the angle measures of polygons, complete each question.

  1. Select which of the following regular polygons will tessellate the plane.
    1. Square
    2. Heptagon
    3. Octagon
    4. Triangle

  2. Given the following regular pentagon and nonagon, what is the m∠MNO?

pentagon and nonagon for question 2

 

  1. Given the following regular polygons, what is the m∠DEM?

polygon for question 3

    1. 30°
    2. 60°
    3. 90°
    4. 120°

 

  1. If a polygon has an exterior angle of 72°, then I have ___________ sides.
    1. 5
    2. 7
    3. 10
    4. 1

 

  1. How many sides does a regular polygon have if its interior angles is 135°?

    1. 6
    2. 8
    3.  9
    4.  12

 

  1. If part of a regular polygon is shown, how many sides does it have?

polyghon for question 6

 

This activity is also available in a printable document.

 

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