SOLUTION: The measure of the interior angle of a regular polygon is 24 more than 38 times the measure of each exterior angle. Find the number of sides of the polygon.

Algebra ->  Algebra  -> Polygons -> SOLUTION: The measure of the interior angle of a regular polygon is 24 more than 38 times the measure of each exterior angle. Find the number of sides of the polygon.      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 162921: The measure of the interior angle of a regular polygon is 24 more than 38 times the measure of each exterior angle. Find the number of sides of the polygon.
Answer by bhembhe(4) About Me  (Show Source):
You can put this solution on YOUR website!
x-> exterior angle
int. angle -> 24 + 38x
ext angle + int angle = 180
x + 38x + 24 = 180
39x = 156
x = 156/39
x= 4 <-- ext angle
n-> no. of sides
ext angle = 360/n
n = 360/ ext. angle
n = 360/4
n = 90
i hope u did understand....godbless