The wonder wheel at coney island in brooklyn new york is a regular polygon with 16 sides. what is the measure of each interior angle of the polygon?

Each Interior Angle = 360 / number of sides

Each Interior Angle = 360 / 16

Each Interior Angle = 22.5 degrees

Step-by-step explanation:

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step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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