# A simple problem for a simple day

Geometry Level 4

Angles $$\alpha = a°, \beta = b°$$ and $$\gamma = c°$$ belong to a triangle and satisfy the following:

1. $$\sin{\alpha} \times \sin{\beta} \times \sin{\gamma} = \frac{3 - \sqrt{3}}{8}$$

2. $$\sin{2\alpha} + \sin{2\beta} = \frac{3}{2}$$

Sumit your solution in form: $$c + R(a, 17) + R(b, 17)$$.

Function $$R(x, y)$$ has a value of remainder when $$x$$ is divided by $$y$$.

e. g. $$R(13, 4) = 1$$, $$R(45, 5) = 0$$

Inspiration: Solution section.

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