Alfa, beta, gama

In the triangle ABC is the size of the internal angle BETA 8 degrees larger than the size of the internal angle ALFA and size of the internal angle GAMA is twice the size of the angle BETA. Determine the size of the interior angles of the triangle ABC.


a =  43 °
b =  51 °
c =  86 °


b = 8+a
c = 2 a

a-b = -8
2a-c = 0
a+b+c = 180

a = 43
b = 51
c = 86

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