Download I. Exterior Angles Exploratory Activity

I. Exterior Angles Exploratory Activity
Use your compass to measure each angle below and fill in the table.
Angle
Measure
1
2
3
4
5
Total degrees of measured angles:_____
Angle
Measure
1
2
3
Total degrees of measured angles:_____
Angle
Measure
1
2
3
4
Total degrees of measured angles:_____
I. Practice Problems
1)
A) Find the sum of the measures of the exterior angles of a polygon that has 12 sides.
B) What is the measure of ONE exterior angle?
2) Find the number of sides of a regular polygon each of whose exterior angles contains 72
degrees.
3)
A) Find the sum of the measures of the exterior angles of a polygon that has 9 sides.
B) What is the measure of ONE exterior angle?
4) Find the number of sides of a regular polygon each of whose exterior angles contains 10
degrees.
II. Practice Problems
A) #1) Find the sum of the measures of the exterior angles of a regular polygon that has 12
sides.
#2) What is the measure of a single angle?
B) Find the number of sides of a regular polygon each of whose exterior angles contains 5
degrees.
C) #1) Find the sum of the measures of the exterior angles of a regular polygon that has 720
sides.
#2) What is the measure of a single angle?
D) Find the number of sides of a regular polygon each of whose exterior angles contains 13
degrees.
Challenge Problem** The measure of each exterior angle of a polygon can be expressed as x-5
and the number of sides by 10x. Determine
#1) The number of degrees in each exterior angle
#2) The number of sides that this polygon has.
Think Pair Share
Jason and Pablo were trying to solve the following question.
The Question: Find the number of sides of a regular polygon each of whose exterior angles
contains 100 degrees.
Jason says, „No problem, this easy, just use the regular formula.‟
Pablo disagrees, “There is no polygon that can satisfy this question”
Who is correct? Explain:
Exterior Angles of a Polygon
This free math worksheet includes an exploratory
activity, a thought provoking Think Pair Share (on
the last page), as well as several traditional
problems involving the exterior angles of
polygons.
URL on Exterior Angles of A Polygon
http://www.mathwarehouse.com/geometry/polygon/
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