If three of the exterior angles of an equiangular polygon is total 90 degrees how many sides does the polygon have

Question

Mathematics

Lucille Shelton

30 August, 02:47

If three of the exterior angles of an equiangular polygon is total 90 degrees how many sides does the polygon have

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Answers (1)

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Izabella Gray · Answer 1

12 sides

Step-by-step explanation:

If the three equal angles add to 90, this means each of those angles must by 30 degrees.

Next, we can use the theorem that the sum of the exterior angles adds to 360 (this is true for any polygon). So, as the exterior angles are all equal to 30, we just work out 360 : 30 = 12.

So the polygon has 12 angles, and therefore 12 sides also.