Here is the problem which I am struggling on, please help me!

Problem: White light is sent through a diffraction grating spectrometer with slits separated by 2.45 x 10^-6 m; it breaks up into the colors of the rainbow. Almost everyone agrees that each color of the spectrum has its own range of wavelengths.

Your professor estimates of the range of wavelengths for each color are: red: 640 nm -720 nm; orange: 600 nm - 640 nm; yellow: 570 nm - 600 nm; green: 520 nm - 570 nm; blue: 460 nm - 520 nm

Part I: Calculate the range of angles for each color produced by the spectrometer.

Part II: The fluorescent lights in this room put out a green light of wavelength 546 nm. At which angle will this line appear?

Please show all work!