The sum of the measures of the interior angles of a convex polygon is 8640°. How many sides does the polygon have?

1 Answer
Burglar
Jun 19, 2016

It has #50# sides.

Explanation:

The rule is that a polygon with #n# sides has a sum on interior angles given by #180^\circ(n-2)#.

For our case we have

#180^\circ(n-2)=8640^\circ#

then

#n=(8640^\circ)/(180^\circ)+2=48+2=50#.

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