Answer
$c \approx 73$
$a \approx 65.6$
$B=26^{\circ}$
Work Step by Step
Here, $\cos A=\dfrac{b}{c}$
This gives: $\cos 64^{\circ}=\dfrac{32}{c} \implies c \approx 73$
Now, $\sin A=\dfrac{a}{c}$
This gives: $\sin 64^{\circ}=\dfrac{a}{73} \implies a \approx 65.6$
Since the sum of a triangle is $180^{\circ}$ and the right angle is $90^{\circ}$:
$ B=180^{\circ}-64^{\circ}-90^{\circ}=26^{\circ}$