中二數學!!!!!

2008-01-25 7:35 pm
1.Find the value of n if the sum of interior angles of an n-sides polygon
is 156°*n
2.if the exterior angles of a heptagon are 30°,40°,50°,60°,2x,1/3x+30°and 1/5x+36°,find x

回答 (3)

2008-01-25 9:02 pm
✔ 最佳答案
1.
(n-2)*180/n = 156

180n - 360 = 156n

24n = 360

n = 15

2.
30 + 40 + 50 + 60 + 2x + x/3 + 30 + x/5 + 36 + ( 7 - 2 ) * 180 = 7 * 180

1146 + 38x/15 = 1260

38x/15 = 114

x/15 = 3

x = 45
參考: 自己
2008-01-27 1:52 am
好好!
2008-01-26 12:28 am
(1)
(n-2)*180/n = 156

180n - 360 = 156n

24n = 360

n = 15

(2)
30 + 40 + 50 + 60 + 2x + x/3 + 30 + x/5 + 36 + ( 7 - 2 ) * 180 = 7 * 180

1146 + 38x/15 = 1260

38x/15 = 114

x/15 = 3

x = 45

Do you unstand ?


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