if twice of an interior angle of a regular polygon is 144ﾟ more than its exterior angle, find the number of sides of the regular polygon.
please give the steps clearly and thanks a lot :)
about Polygons (only1question)
2010-05-04 2:51 am
回答 (3)
2010-05-04 3:28 am
2010-05-04 3:00 am
360/n +144
= (360+144n)/n
GOOD!
= (360+144n)/n
GOOD!
2010-05-04 2:58 am
2(((n-2)180)/n)= 360/n +144
(360(n-2))/n = (360+144n)/n
360n-720=360+144n
216n=1080
n=5
2010-05-03 19:00:15 補充：
n= number of sides
formula of each interior angle= (180(n-2))/n
formula of eachh exterior angle = 360/n
(360(n-2))/n = (360+144n)/n
360n-720=360+144n
216n=1080
n=5
2010-05-03 19:00:15 補充：
n= number of sides
formula of each interior angle= (180(n-2))/n
formula of eachh exterior angle = 360/n
參考: me, myslf
收錄日期: 2021-04-23 20:47:22
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100503000051KK00975