SOLUTION: For the following regular polygons, find the following, round to the nearest tenth, if necessary.\ Sum of the interior angles Measure of an interior angle Measure of an exteri

Question 1107615: For the following regular polygons, find the following, round to the nearest tenth, if necessary.\
Sum of the interior angles
Measure of an interior angle
Measure of an exterior angle.
1. 24-gon
2. 30-gon
3. Polygon with 40 sides
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
sum of interior angles is (n-2)*180
measure of a interior angle is [(n-2)/n]*(180)
measure of an exterior angle is 360/n, where n is the number of sides.
24-gon has sum of 3960 degrees, exterior angles of 15 degrees and therefore interior angles of 165 degrees.
30-gon has sum of 5040 degrees, exterior angles of 12 degrees and interior angles of 168 degrees
40-gon has sum of 6840 degrees, exterior angles of 9 degrees and interior angles of 171 degrees
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