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Flock of Sheep Problem


Summary of the Problem

A shepherd needs your help in putting a fence around her flock of sheep. The fence can be any shape, but it must completely enclose the flock. Otherwise the sheep might escape. Also, every angle formed must have an INTEGER degree measure. Use the "Angle of Given Size" tool (click on the Angle icon to see it) to determine the location of the "fence posts." Use the "Line" or "Line Segment" tool to build the enclosure.


How many angles does it take to enclose the flock?

What is the sum of the angles created?

Is it possible to do it with fewer angles than the number you used? Why or why not?