Question 1151067
Name the polygon whose sum of the interior angle measures is twenty eight times the measure of one exterior angle of a regular octagon
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Step 1, find the exterior of a regular octagon.
Ext angle = 360/n where n = # of sides.
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Step 2, multiply that by 28.
Call it Int degrees.
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Step 3, use the sum of the interior angles = (n-2)*180 degs.
Solve for n
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PS  Not all regular polygons have names.