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Math Help - How can I express this with mathematical notation?

  1. #1
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    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 (\Delta) from 1-5 and the angles (\angle) from a-e in my diagram, could I say:

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

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

    Quote Originally Posted by terrorsquid View Post
    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 n\ge 3 vertices then the sum of its angles is \left(180n-360\right)^o.
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