## 28Tylerr Group Title Find the sum of the measures of the interior angles of each convex polygon. 2 years ago 2 years ago

1. luck4u Group Title

overall

2. 28Tylerr Group Title

Here is the question: 16-gon

3. luck4u Group Title

???

4. luck4u Group Title

i dont know

5. 28Tylerr Group Title

It wants me to find the sum of a convex polygon and the polygon is a 16-gon

6. 28Tylerr Group Title

& I can't seem to figure it out.

7. .Sam. Group Title

Use the formula (n-2)*180

8. 28Tylerr Group Title

Ok, So would it be 16 in place of the n?

9. .Sam. Group Title

You will get 2520 degrees

10. 28Tylerr Group Title

Ok, But what number would I put in place of the n?

11. .Sam. Group Title

16

12. 28Tylerr Group Title

Alright thanks man, Can ya help me with a couple of more?

13. .Sam. Group Title

ok

14. 28Tylerr Group Title

My next one is: The measure of the interior angles of a regular polygon is given. Find the number of sides in the polygon.

15. 28Tylerr Group Title

Here is the question: 1980.

16. .Sam. Group Title

Sum of the angles is 1980?

17. 28Tylerr Group Title

I just got to find the polygon that has a number of sides of 1980.

18. 28Tylerr Group Title

Thats basically what it is.

19. 28Tylerr Group Title

..Sam, Can ya help?

20. .Sam. Group Title

$\frac{(n-2)\times180}{n}=\text{Each \angle inside the polygon}$ $(n-2)\times180=\text{Sum of angles inside the polygon}$ ---------------------------------------------------------- So, $(n-2)\times180=\text{Sum of angles inside the polygon}$ $(n-2)\times180=1980$ n=13

21. 28Tylerr Group Title

Alright thanks, Can ya help with 4 more lol? Sorry man

22. .Sam. Group Title

post as a new question

23. 28Tylerr Group Title

Alright, Give me a min

24. SmoothMath Group Title

The equation is (180)(n-2), where n is the number of sides. Here's why: |dw:1334620067825:dw| The number of triangles that I can split the polygon up into, is n-2. Each triangle's interior angles sum to 180. How cool! =D