Problema Solution
The sum of the measures of the interior angle of a polygon is between 2100 and 2400. How many sides does the polygon have?
Answer provided by our tutors
The formula for sum of interior angles of a polygon of n sides =180(n-2)
180(n-2)=2100
180n-360=2100
180n=2460.
n=2460/180=13.67.
For total angle of 2400 deg.
180(n-2)=2400
180n-360=2400
180n=2760
n=15.3333
If we take the nearest whole number
n=14 or 15
The polygon has 14 or 15 sides.