Why is Dutch from the Netherlands but Deutsch from Germany?

Why are the words Dutch and Deutsch so similar but one refers to people from the Netherlands and the other to the people  from Germany?

Music Used:
Sunday Dub - Kevin MacLeod
Egmond Overture -  Ludwig von Beethoven
Finding the Balance - Kevin MacLeod
Folk Round - Kevin MacLeod
Floating Cities - Kevin MacLeod
Fiddles McGinty - Kevin MacLeod
As I Figure - Kevin MacLeod

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