Another verb for this kanji! Crazy! I know, I'm sorry. The previous ones were: 着る (to wear), 着く (to arrive), and now 着ける (to put on / to wear). At least it's similar to 着る, right? In this case, this word is like 付ける, which means "to attach." It's used for things you "attach" to your body to wear, like accessories, or a face mask. That's why this is to put on or to wear. Same sound, different kanji, similar ideas.