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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