If the sum of the interior angles of a regular polygon is 3240°, what is the measure of each angle?

1 Answer
Jim G.
Apr 18, 2018

#162^@#

Explanation:

#"the sum of the interior angles "=180^@(n-2)#

#rArr180^@(n-2)=3240^@larrcolor(blue)"solve for n"#

#rArrn-2=3240/180=18#

#rArrn=18+2=20#

#"this is a regular polygon with 20 sides"#

#rArr"interior angle "=3240^@/20=162^@#

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