SOLUTION: The number of sides of two regular polygon A and B are in the ratio 1:3.If each interior angle of polygon B is 168 degree,find each interior angle of polygon A

Question 942173: The number of sides of two regular polygon A and B are in the ratio 1:3.If each interior angle of polygon B is 168 degree,find each interior angle of polygon A
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
For polygon B with interior angle 168 degrees, the exterior angle=180 degrees-168 degrees=12 degrees. The sum of externior angles of a polygon is 360 degrees, so 360 degrees /12 degrees = 30 sides for polygon B. The ratio of the number of sides of A:B is 1:3 so polygon A would have 10 sides. With a total of 360 degrees, each exterior angle would be 360 degrees/10=36 degrees and each interior angle of polygon A would be (180-36) degrees or 144 degrees.
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