What is the measure of each interior angle in a regular 15-gon?

A.
167°

B.
108°

C.
156°

D.
120°

Question

What is the measure of each interior angle in a regular 15-gon?
	
	
 
A.
	167°
	
 
B.
	108°
	
 
C.
	156°
	
 
D.
	120°

anonymous · Answer

@Flvs.net

flvs.net · Answer

The measure for each interior angle of a regular 15-gon would be "156". 

 Equation: (n-2)180/15 
 n= the number of sides 

 There is 2,340 degrees in a 15 gon, so you divide that by 15 which equals 156.

anonymous · Answer

since all of you people are here what do you think

flvs.net · Answer

156, like it says in my equation.

mrnood · Answer

the sum of all EXTERIOR angles in any polygon is 360

The interior angle is the complement of that

hybrik · Answer

To do this you have to do 360/15, that answe will give you each angle

anonymous · Answer

yea ik. :)

mrnood · Answer

@hybrik that gives the exterior angle - NOT the interior

flvs.net · Answer

@MrNood I gave you a medal. :D

mrnood · Answer

thx

welshfella · Answer

another way to do this is to use the fact that the sum of all the exterior angles of a polygon add up to 360
so each internal angle in a regular polygon =  (180 - (360/n))  where n = number of sides

flvs.net · Answer

@MrNood Can you give me one back?

hybrik · Answer

You have to do 2340/15 as Flvs said @MrNood

welshfella · Answer

oh  - thats all been said earlier!  - I didn't know!