SOLUTION: the sum of the measures of the interior angles of a regular polygon is 2340 (degrees). how many sides does the polygon have?
Algebra ->
Polygons
-> SOLUTION: the sum of the measures of the interior angles of a regular polygon is 2340 (degrees). how many sides does the polygon have?
Log On
Question 555952: the sum of the measures of the interior angles of a regular polygon is 2340 (degrees). how many sides does the polygon have? Answer by Don2xmalabag(6) (Show Source):
You can put this solution on YOUR website! Sum of Interior Angle(SInt)=(n-2)180 wherein n=number of sides
2340=(n-2)180 divide both sides by 180
2340/180=(n-2)180/180
13=n-2 add 2 to both sides
13+2 = n-2+2
15=n
*therefore the polygon has 15 sides
(