Common Star

Geometry Level pending

Find the value of the angles of A,B,C ... and so on, but for a 2015-sided polygram .

*polygram : kind of a star

P.S. You will probably need a formula and a calculator :)

1 solution

Fedor Panafidin
Oct 31, 2015

Let $n$ be the amount of "A,B,C,D,E ... -like angles" of the polygram,

the formula should then be: 180 - 2 ( 180 - ( 180 - 360 : $n$ ) ) $\times$ $n$

So we get $\boxed{361980}$

Open to new solutions!!