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.

Algebra ->  Algebra  -> Polygons -> 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.      Log On

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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(12126) About Me  (Show Source):
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The measure of an interior angle of a regular -gon is given by:



The measure of an exterior angle of a regular -gon is given by:



So:










John