The measure of an interior angle of a regular polygon is 160. How many sides does the polygon have?

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sjc Share
Jul 9, 2017

Answer:

#18 " sides "#

Explanation:

with regular polygons it is best to remember that:

#(1)" " #all the EXTERIOR angles add up to #360^0#

#(2)" "# #1 " exterior angle"+ 1" interior angle "=180^0#

Work with the exterior angles. In this case:

#1 " int. <"=180-160=20^0#

#"No. of sides "=360/20=18#

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