F.2 Plane Geometry

2008-07-24 5:44 am
Find the number of sides of a regular polygon if each interior angle is one-third of its corresponding interior angle.

回答 (1)

2008-07-24 6:05 am
✔ 最佳答案
Interior angle = 180(n-2)/n.
Exterior angle = 360/n.
Therefore, 1/3[180(n-2)/n] = 360/n
180(n-2) = 3 x 360
n-2 = 6
n=8.
So this is an octagon.


收錄日期: 2021-04-25 22:35:56
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080723000051KK03066

檢視 Wayback Machine 備份