find the number of sides of regular polygon if ratio of its exterior and interior angel is 3:6
Answers
Answered by
1
Answer:
please mark me as brainlist
Step-by-step explanation:
let the interior angle of the regular polygon be X.
therefore, the exterior angle is X/4.
Exterior angle + adjacent interior angle =180
0
4
X
+X=180
0
4
5X
=180
0
X=180
0
×
5
4
=144
0
the interior angle is 144
0
the exterior angle is 36
0
n=
exteriorangle
360
0
=
36
0
360
0
=10
The number of sides of a regular polygon is 10.
Answered by
1
Attachments:
![](https://hi-static.z-dn.net/files/d93/4f29621cd32e23c55b564a73b8825f3f.jpg)
Similar questions