题目是用英文写的,Each exterior angle of a regular polygon of n sides is 16 degree greater than each exterior angle of another regular polygon of 3n sides.(a) Form an equation in n and solve for the value of n(b) Calculate the interior angle o
来源：学生作业帮助网 编辑：六六作业网 时间：2024/11/15 07:23:53
题目是用英文写的,Each exterior angle of a regular polygon of n sides is 16 degree greater than each exterior angle of another regular polygon of 3n sides.(a) Form an equation in n and solve for the value of n(b) Calculate the interior angle o
题目是用英文写的,
Each exterior angle of a regular polygon of n sides is 16 degree greater than each exterior angle of another regular polygon of 3n sides.
(a) Form an equation in n and solve for the value of n
(b) Calculate the interior angle of the regular polygon of 3n sides
题目是用英文写的,Each exterior angle of a regular polygon of n sides is 16 degree greater than each exterior angle of another regular polygon of 3n sides.(a) Form an equation in n and solve for the value of n(b) Calculate the interior angle o
正n边形的每个外角比正3n边形的每个外角大16°,（a）求n满足的方程并解出n（b）计算正3n边形的内角.
n多边形的外角和：360°,所以正n边形的每个外角：360°/n,正3n边形的每个外角：120°/n于是有
360°/n=120°/n+16°,也即：16n=240,解得n=15
正45边形的外角为：8°,所以内角为172°
n＝15，the interior angle of the regular polygon of 3n sides＝172度