why is anode negatively charged in galvanic cell while it is positively charged in electrolytic cell

You know i had the EXACT same doubt when i had read the chapter :)

 

Remember that in anode always oxidation occurs. Now the difference is because of the different processes. Electrolytic cell uses electrical energy to bring about a non spontaneous change while in a galvanic cell, the energy of spontaneous process is used to produce electrical energy.

 

In galvanic cell, oxidation occurs at anode and zinc becomes Zn+2 by losing 2 electrons to the anode hence anode has an excess of electrons and so it is negative. While an electrolytic cell is the normal cell in which the anode is positive and it’s the plate from where the electricity leaves the cell.

 

I hope this helps, please feel free to ask follow up doubts and approve the answer if you like it :)