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👨🏻‍🏫 學術台數學

用戶190687

2009-05-24 7:10 am

8. For a regular polygon, if each interior angle is 4 times as large as each exterior angle, find the
number of sides of this polygon.

回答 (3)

用戶7639

2009-05-24 7:17 am

✔ 最佳答案

Let x be the exterior angle.
x+4x=180o
5x=180o
x=36o

number of sides of this polygon=360o/36o
=10

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ynaffit

2009-05-24 7:25 am

10 sides
(10-2)*180=1440

參考: me

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[匿名]

2009-05-24 7:18 am

Let the sides of the polygon be n.

180x(n-2) = 360x4
180n-360 = 1440
180n = 1800
n = 10

The number of sides of the polygon is 10.

參考: me

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