+0  
 
-2
156
6
avatar

A certain polygon has three angles that measure 120 degrees and the rest of its angles measure 150 degrees. How many sides does the polygon have?

 Jun 4, 2020
 #1
avatar+21953 
0

If three angles contain a total of 120o and the total of all the other angles is 150o  --  and if we are talking about

interior angles  --  the sum of the interior angles is 270o.

This is impossible ...   

 Jun 4, 2020
 #5
avatar+6 
-1

He/she/idk never said that there was only one other side. It doesn't have to be a rectangle. Just a polygon. Possible.

 #2
avatar
+1

I'm just going to straight up tell you the formula ffor trial and error. I don't know any smarter way because I'm not smart. :P a/180+2=n. N is how many sides, and a is the amount of angles. I got this from  a=(n-2)/180. So you do... 360 also 120*3. (360+150*n)/180+2. Solve this multiple times until you get a whole number. BTW... It's 9 sides. (360+150*6)/180+2=9. 

 Jun 5, 2020
 #3
avatar+6 
-1

I'm just going to straight up tell you the formula ffor trial and error. I don't know any smarter way because I'm not smart. :P a/180+2=n. N is how many sides, and a is the amount of angles. I got this from  a=(n-2)/180. So you do... 360 also 120*3. (360+150*n)/180+2. Solve this multiple times until you get a whole number. BTW... It's 9 sides. (360+150*6)/180+2=9. 

 #4
avatar+6 
-1

I forgot to log in. I need those points.

 #6
avatar
0

 

A certain polygon has three angles that measure 120 degrees and the rest of its angles measure 150 degrees. How many sides does the polygon have?

 

That polygon has 9 sides

 

( 9-2) * 180 = 1260                ( 3 * 120 ) + ( 6 * 150 ) = 1260   smiley

 Jun 5, 2020

41 Online Users

avatar
avatar
avatar