# Triple Trig Threat!

Geometry Level 2

Given the following:

$$\sin (\alpha + \beta - \gamma) = \frac{1}{2}$$

$$\cos (\beta + \gamma - \alpha) = \frac{1}{2}$$

$$\tan (\alpha + \gamma - \beta) = 1$$

Find $$\alpha + \beta + \gamma$$ in degrees such that all three angles are acute.

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