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Given a polygon with 5 sides, determine the following:
part a) The sum of the measures of the interior angles.
part b) The sum of the measures of the exterior angles

and why

2007-07-29 13:12:34 · 4 answers · asked by zerokun4 1 in Science & Mathematics Mathematics

4 answers

Part b)The sum of measures of all exterior angles is always 360 degrees,irrespective the no of sides of the polygon.Hence a regular polygon with 5 sides will have its interior angle as 360/5=72 degrees
Parta)The exterior angle being found out as 72 degrees,the measure of interior angle would be 180-72=108 degrees,as the sum of measures of interior and exterior angle of a polygon is always 180 degrees

2007-07-29 13:18:55 · answer #1 · answered by moona 4 · 0 0

exterior angles = 360/5 = 72 degrees
interior angles = 180 -72 = 108 degrees
An exterior angle and its associated interior angle always add up to 180 degrees.

2007-07-29 13:19:01 · answer #2 · answered by ironduke8159 7 · 0 0

if exterior perspective measures 5 tiers, then the corresponding indoors perspective may well be 275 tiers {360-(5+one hundred eighty)}. it quite is impossible for a polygon to have an exterior perspective of five tiers

2016-10-09 12:56:57 · answer #3 · answered by ? 4 · 0 0

Check the answer for your octagon question, then follow the same steps to get this one. If you want someone to answer everything for you, then you never learn anything.

2007-07-29 13:18:44 · answer #4 · answered by Paladin 7 · 1 0

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