最佳解答取20分:有關中二數學家課的問題

2007-02-21 3:01 am
本人有兩題數學題不懂得作答,
是英文的數學題。
1. Each interior angle of a regular polygon is 108 degrees more than each exterior angle. How many sides are there in this polygon?
Answer: 10 sides.
最快答對者即送20分。

回答 (3)

2007-02-21 3:06 am
✔ 最佳答案
let the exterior angle is x, then interior angle is x+108
Since exterior angle +interior angle =180
x+x+108=180
2x=72
x=36
exterior angle is 36
Since Sum of all exterior angle =360
36n=360
n=10
There are 10 sides in this polygon
2007-02-21 3:38 am
x+x+108=180

2x=72

x=36

exterior angle is 36

Since Sum of all exterior angle =360

36n=360

n=10

There are 10 sides in this polygon
2007-02-21 3:17 am
n: no. of sides

(n-2)x180` 360`
________=____+108`
n n

(n-2)x180` 360`+108`n
________=__________
n n

(n-2)x180`=360`+108`n

180`n-360`=360`+108`n

180`n-108`=720`

72`n=720`

n=10


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