Answer
$θ = 56^{\circ}$
$γ = 34^{\circ}$
Work Step by Step
1. Find $θ$
$sin = \frac{opposite}{hypotenuse}$
$sin(θ) = \frac{5}{6}$
by GDC / calculator
$θ = 56.4426...^{\circ}$
$θ = 56^{\circ}$
2. Find $ γ$
$cos = \frac{adjacent}{hypotenuse}$
$cos(γ) = \frac{5}{6}$
by GDC / calculator
$γ = 33.5573...^{\circ}$
$γ = 34^{\circ}$