Question

Find the measures of an exterior angle and an interior angles given the number of sides of each regular polygon. Round to the nearest tenth, if necessary.
Number of sides: 16

Answer 1

So I started out by doing
(n-2)(180)
And I substituted n for 16 because n is the number of sides.
so..
(16-2)(180)
14(180)
=2520

Answer 2

And then I tried to find out what the measure of the interior angles was.

Answer 3

Int angle=(n-2)* 180/n

Answer 4

ext angle=360/n

Answer 5

Now just divide by the number of sides

Answer 6

Yes that!! @ksaimouli I thought about that!!

Answer 7

R u sure? @zaynahf for some reason I thought it was wrong to do that.

Answer 8

then u forgot to divide /n or number of sides in this case 16 i think

Answer 9

Lemme seee

Answer 10

2520/16=157.5
So are you saying that 157.5 is the measure of an interior angle?

Answer 11

*SOrry, not the # of sides

Answer 12

16-2= 14
2520/14

Answer 13

And then..
360/16 =22.5 for exterior angle?

Answer 14

Oh! 14 for the triangles?

Answer 15

@zaynahf

Answer 16

That makes each side become 180 for interior!?! whaaa...makes no sense..

Answer 17

I know, lol i just messed up

Answer 18

oh..so then how do I do this?

Answer 19

Sorry, its been a long time -_-

Here, i found this:
Exterior angles always add up to 360 no matter how many sides. So to find an interior angle, it's easiest to find the exterior angle and subtract it from 180 since interior + exterior = 180

So 1 16-gon: 360 / 16 = 22.5; 180 - 22.5 = 157.5 degrees

Answer 20

You were right :)

Answer 21

yes!!!

Answer 22

Ok good :P Sorry again.. i forgot that stuff

Answer 23

Lol its ok!