## karatechopper 2 years ago 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

1. karatechopper

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

2. karatechopper

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

3. ksaimouli

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

4. ksaimouli

ext angle=360/n

5. zaynahf

Now just divide by the number of sides

6. karatechopper

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

7. karatechopper

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

8. ksaimouli

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

9. karatechopper

Lemme seee

10. karatechopper

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

11. zaynahf

*SOrry, not the # of sides

12. zaynahf

16-2= 14 2520/14

13. karatechopper

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

14. karatechopper

Oh! 14 for the triangles?

15. karatechopper

@zaynahf

16. karatechopper

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

17. zaynahf

I know, lol i just messed up

18. karatechopper

oh..so then how do I do this?

19. zaynahf

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

20. zaynahf

You were right :)

21. karatechopper

yes!!!

22. zaynahf

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

23. karatechopper

Lol its ok!