anonymous
  • anonymous
Find the sum of the measures of the interior angles of each convex polygon.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
overall
anonymous
  • anonymous
Here is the question: 16-gon
anonymous
  • anonymous
???

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anonymous
  • anonymous
i dont know
anonymous
  • anonymous
It wants me to find the sum of a convex polygon and the polygon is a 16-gon
anonymous
  • anonymous
& I can't seem to figure it out.
.Sam.
  • .Sam.
Use the formula (n-2)*180
anonymous
  • anonymous
Ok, So would it be 16 in place of the n?
.Sam.
  • .Sam.
You will get 2520 degrees
anonymous
  • anonymous
Ok, But what number would I put in place of the n?
.Sam.
  • .Sam.
16
anonymous
  • anonymous
Alright thanks man, Can ya help me with a couple of more?
.Sam.
  • .Sam.
ok
anonymous
  • anonymous
My next one is: The measure of the interior angles of a regular polygon is given. Find the number of sides in the polygon.
anonymous
  • anonymous
Here is the question: 1980.
.Sam.
  • .Sam.
Sum of the angles is 1980?
anonymous
  • anonymous
I just got to find the polygon that has a number of sides of 1980.
anonymous
  • anonymous
Thats basically what it is.
anonymous
  • anonymous
..Sam, Can ya help?
.Sam.
  • .Sam.
\[\frac{(n-2)\times180}{n}=\text{Each \angle inside the polygon}\] \[(n-2)\times180=\text{Sum of angles inside the polygon}\] ---------------------------------------------------------- So, \[(n-2)\times180=\text{Sum of angles inside the polygon}\] \[(n-2)\times180=1980\] n=13
anonymous
  • anonymous
Alright thanks, Can ya help with 4 more lol? Sorry man
.Sam.
  • .Sam.
post as a new question
anonymous
  • anonymous
Alright, Give me a min
anonymous
  • anonymous
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

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