Sum Of Angles In A Star - Challenge From India!

Thanks to Nikhil Patro for suggesting this problem! What is the sum of the corner angles in a regular 5-sided star? What if the star is not regular, what is the sum of corner angles then? There are some neat ways to solve this. I present my favorite methods.

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https://puzzling.stackexchange.com/questions/17681/five-angles-in-a-star
https://www.futilitycloset.com/2015/04/25/star-power-2/
http://mathandmultimedia.com/2012/06/23/angle-sum-of-pentagram/
http://mrhonner.com/archives/14821
http://mathandmultimedia.com/2012/06/23/angle-sum-of-pentagram/
http://proofsfromthebook.com/2013/08/04/angle-sum-of-a-pentagram/
https://en.wikipedia.org/wiki/Star_polygon
Further reading
http://www.math.nsysu.edu.tw/~wong/papers/soa-SEAM-formatted.pdf

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