SOLUTION: The measure of each interior angle of a regular polygon is 3 times larger than each exterior angle. How many sides does this polygon have
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Question 423918: The measure of each interior angle of a regular polygon is 3 times larger than each exterior angle. How many sides does this polygon have Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Int = Ext + 3*Ext = 4*Ext
4Ext + Ext = 180
Ext angle = 36 degs
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The exterior angle = 36 degs
The sum of ext angles of all polygons = 360 degs
360/36 = 10 sides
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PS 3 times larger is not the same as 3 times as large.
3 times larger = 4 times as large
300% more is 400% of the base, or 4 times as much
