我想要詳細解析：
If an exterior angle of a regular polygon is 24° less then 1/6 of its interior angle, find the number of sides of the regular polygon.
F.2 Maths
2009-09-13 10:08 am
回答 (2)
2009-09-17 6:38 pm
✔ 最佳答案
Ext(X) + Int = 180degree (angles on a straight line)X + (X + 24)6 = 180
7X + 144 = 180
X = 36 / 7
The regular polygon is a:
360 degree divided by 36 / 7 (sum of ext. angles of a polygon is 360 degrees)
= 360 x 7/36
= 70
2009-09-13 10:22 am
Let exterior angle of a regular polygon be x, interior angle be 7x
x+7x=180(adj.angles on st.line)
x=22.5
360/22.5=16
The number of sides of the regular polygon is 16.
應該係咁計= =
可能會錯
x+7x=180(adj.angles on st.line)
x=22.5
360/22.5=16
The number of sides of the regular polygon is 16.
應該係咁計= =
可能會錯
收錄日期: 2021-04-19 15:19:36
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20090913000051KK00220