Question 109127
How many sides does a polygon have if the measure of each interior angle is 8 times the measure of each exterior angle? 
-------------
Draw the figure of an exterior angle and its corresponding 
interior angle.  Notice that they are supplementary.
---------
Let the exterior angle have measure "x"; The interior angle has measure "8x".
EQUATION:
x + 8x = 180
9x = 180
x = 20 degrees (measure of one of the exterior angles.
--------------
Fact: The sume of the exterior angles of a polygon is 360 degrees.
--------------
EQUATION:
# of sides = 360/20 = 18 sides
=====================
Cheers,
Stan H.