Lysosomes are important to many eukaryotic animal cells because they contain Naim 08:08 AP Biology Lysosomes are important to many eukaryotic animal cells because they contain a. photosynthetic pigments. b. starch molecules for energy storage. c. their own DNA molecules. d. cell waste materials. e. digestive enzymes. Answer: e. digestive enzymes Learn More : Share this Share on FacebookTweet on TwitterPlus on Google+