SOLUTION: Grogg draws an equiangular polygon with g sides, and Winnie draws an equiangular polygon with w sides, where g < w. If the exterior angle of Grogg's polygon is congruent to six tim
Algebra ->
Geometry-proofs
-> SOLUTION: Grogg draws an equiangular polygon with g sides, and Winnie draws an equiangular polygon with w sides, where g < w. If the exterior angle of Grogg's polygon is congruent to six tim
Log On
Question 1210530: Grogg draws an equiangular polygon with g sides, and Winnie draws an equiangular polygon with w sides, where g < w. If the exterior angle of Grogg's polygon is congruent to six times the interior angle of Winnie's polygon, find w. Answer by greenestamps(13305) (Show Source):
The exterior angle of Grogg's equilateral polygon has measure degrees.
That exterior angle has a measure equal to 6 times the measure of each interior angle of Winnie's polygon, so the measure of each interior angle of Winnie's polygon is .
But the smallest possible measure of the interior angle of a regular polygon is 60 degrees.
