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Find the sum of the measures of the interior angles of each convex polygon.
 2 years ago
 2 years ago
Find the sum of the measures of the interior angles of each convex polygon.
 2 years ago
 2 years ago

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28TylerrBest ResponseYou've already chosen the best response.0
Here is the question: 16gon
 2 years ago

28TylerrBest ResponseYou've already chosen the best response.0
It wants me to find the sum of a convex polygon and the polygon is a 16gon
 2 years ago

28TylerrBest ResponseYou've already chosen the best response.0
& I can't seem to figure it out.
 2 years ago

.Sam.Best ResponseYou've already chosen the best response.2
Use the formula (n2)*180
 2 years ago

28TylerrBest ResponseYou've already chosen the best response.0
Ok, So would it be 16 in place of the n?
 2 years ago

.Sam.Best ResponseYou've already chosen the best response.2
You will get 2520 degrees
 2 years ago

28TylerrBest ResponseYou've already chosen the best response.0
Ok, But what number would I put in place of the n?
 2 years ago

28TylerrBest ResponseYou've already chosen the best response.0
Alright thanks man, Can ya help me with a couple of more?
 2 years ago

28TylerrBest ResponseYou've already chosen the best response.0
My next one is: The measure of the interior angles of a regular polygon is given. Find the number of sides in the polygon.
 2 years ago

28TylerrBest ResponseYou've already chosen the best response.0
Here is the question: 1980.
 2 years ago

.Sam.Best ResponseYou've already chosen the best response.2
Sum of the angles is 1980?
 2 years ago

28TylerrBest ResponseYou've already chosen the best response.0
I just got to find the polygon that has a number of sides of 1980.
 2 years ago

28TylerrBest ResponseYou've already chosen the best response.0
Thats basically what it is.
 2 years ago

.Sam.Best ResponseYou've already chosen the best response.2
\[\frac{(n2)\times180}{n}=\text{Each \angle inside the polygon}\] \[(n2)\times180=\text{Sum of angles inside the polygon}\]  So, \[(n2)\times180=\text{Sum of angles inside the polygon}\] \[(n2)\times180=1980\] n=13
 2 years ago

28TylerrBest ResponseYou've already chosen the best response.0
Alright thanks, Can ya help with 4 more lol? Sorry man
 2 years ago

28TylerrBest ResponseYou've already chosen the best response.0
Alright, Give me a min
 2 years ago

SmoothMathBest ResponseYou've already chosen the best response.0
The equation is (180)(n2), 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 n2. Each triangle's interior angles sum to 180. How cool! =D
 2 years ago
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