# Thread: How can I express this with mathematical notation?

1. ## How can I express this with mathematical notation?

I have a pentagon that I have split into 5 triangles and was wanting to say that the sum of the triangle's angels is 900 and the sum of the 5 middle angles formed by the points of the triangles is 360, therefore the pentagon's angle sum is 900-360 = 540. How can I express this all in mathematical notation?

If I labelled the triangles $\displaystyle (\Delta)$ from 1-5 and the angles $\displaystyle (\angle)$ from a-e in my diagram, could I say:

$\displaystyle \sum_{\Delta=1}^5$ $\displaystyle (\Delta) - \sum_{\angle = a}^e$$\displaystyle (\angle) = 540$

or something?

2. ## Re: How can I express this with mathematical notation?

Originally Posted by terrorsquid
I have a pentagon that I have split into 5 triangles and was wanting to say that the sum of the triangle's angels is 900 and the sum of the 5 middle angles formed by the points of the triangles is 360, therefore the pentagon's angle sum is 900-360 = 540. How can I express this all in mathematical notation?
If you have any convex polygon with $\displaystyle n\ge 3$ vertices then the sum of its angles is $\displaystyle \left(180n-360\right)^o$.