Answer
$\theta = 0.29^{\circ}$
Work Step by Step
We can write an expression for the angle subtending each fringe:
$\theta_m = \frac{m~\lambda}{d}$
Therefore, the angular separation between each fringe is $\frac{\lambda}{d}$
We can find the angular separation in degrees:
$\theta = \frac{\lambda}{d}$
$\theta = \frac{1}{200}~rad$
$\theta = (\frac{1}{200}~rad)(\frac{180^{\circ}}{\pi~rad})$
$\theta = 0.29^{\circ}$