SOLUTION: The sum of the measures of the interior angles of a polygon is between 2100 and 2400. how many sides does a polygon have?

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Question 150864This question is from textbook
: The sum of the measures of the interior angles of a polygon is between 2100 and 2400. how many sides does a polygon have? This question is from textbook

Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
sum of measures of interior angles=
180(n-2)

set it equal to 2100 and 2400

180(n-2)=2100
180n-360=2100
180n=2460
n=13.6667

180(n-2)=2400
180n-360=2400
180n=2760
n=15.3333

.5 or over round up
less than .5 round down
n=14 or 15

The polygon has 14 or 15 sides.