The angular width of the central maximum in a single slit diffraction pattern is

The angular width of the central maximum in a single slit diffraction pattern is $60^{\circ}$. The width of the slit is $1 \mu \mathrm{m}$. The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it, Young's fringes can be observed on a screen placed at a distance $50 \mathrm{~cm}$ from the slits. If the observed fringe width is $1 \mathrm{~cm}$, what is slit separation distance? (i.e. distance between the centres of each slit.)