+0  
 
0
36
1
avatar

In a certain regular polygon, the measure of each interior angle is nine times the measure of each exterior angle. Find the number of sides in this regular polygon.

 Jun 24, 2022
 #1
avatar+124509 
+1

The interior angle and its corresponding exterior angle are supplementary ( sum to 180°)

 

So.....

 

9n + n = 180        

 

10n = 180

 

n  = 180  /10   =  18°

 

And   the sum of the measures of the exterior angles =  360°

 

So....the number of sides  =  360  / 18   =   20

 

 

cool cool cool                             

 Jun 24, 2022

13 Online Users

avatar
avatar