SOLUTION: The measure of each interior angle of a regular polygon is t times the measure of each exterior angle of the polygon. Show that the polygon has 2(t+1) sides.
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Question 240282: The measure of each interior angle of a regular polygon is t times the measure of each exterior angle of the polygon. Show that the polygon has 2(t+1) sides.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The measure of an interior angle of a regular 
-gon is given by:
180}{n})
The measure of an exterior angle of a regular -gon is given by:
So:
180}{n}\ =\ t\left(\frac{360}{n}\right))
180\ =\ t\left(360\right))
)
John
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