SOLUTION: a regular polygon has it exterior angle been 100 degree less than it interior angle.find:
1.the number of sides of the polygon
2.the sum of all the interior angles
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-> SOLUTION: a regular polygon has it exterior angle been 100 degree less than it interior angle.find:
1.the number of sides of the polygon
2.the sum of all the interior angles
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Question 627741: a regular polygon has it exterior angle been 100 degree less than it interior angle.find:
1.the number of sides of the polygon
2.the sum of all the interior angles Answer by reviewermath(1029) (Show Source):
You can put this solution on YOUR website! Let x = interior angle
so 180 - x = exterior angle
180 - x = x - 100
-2x = -280
x = 140
the exterior angle measures 180 - x = 180 - 140 = 40 degrees
To get the number of sides, divide 360 degrees by 40 degrees, the result is 9.
1. the number of sides is 9, its a nonagon.
2. the sum of all interior angles is 180(9-2) = 1260 degrees.
