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Given a polygon with 5 sides, determine the following:?

zerokun4 - 2007-07-29 17:12:34 - Mathematics

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

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Best Answer:

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

Answers:

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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

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.

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