I use my Adobe programs from the Creative Cloud. When our design agency sends me files, I open them and fonts I have on my computer aren't showing up when I open the file. Everywhere online it says I need to add the fonts to InDesign's font file, but since I'm working out of the Creative Cloud, I don't have that option. How do I get InDesign to recognize these fonts when I'm opening files from our agency?
ID sees fonts installed on your computer and contained in a Document Fonts folder in the same folder as the document, if one exists.
I don't really understand what you are saying about fonts you have installed not showing up. And cloud makes no difference -- all the applications and support files are installed on your hard drive.