<PRE><B>Question 558206</B>
Calculate the exterior angle of a regular polygon in which the interior angle is four times the exterior angle. Hence find the number of sides in the polygon.
-------
Exterior: x
Interior: 4x
---
x + 4x = 180
x = 36 degrees
-----
Sum of ALL exterior angles is 360 degrees.
# of exterior angles = 360/36 = 10
---
# of sides = 10
=====================
Cheers,
Stan H.
================</PRE>