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The reading for 眼 is the same as the vocab 眼. The reading for 鏡 is an exception, totally different. It shares a reading with 金 (gold), though, so think of the mirrors on the person's eyes being made of gold. What nice glasses!
This word can also be read as がんきょう, but usually only on official/written documents. If you're speaking and not reading a government document, you should say めがね!
You should wipe your glasses.