What is .LYR file extension?
Contains information available in ArcView's layer properties dialog box; may include symbols, display settings, joined table details, definition queries, labeling properties, and annotation display properties.
LYR files are similar to Legend (.AVL) files, but may contain much more information and are saved in a binary format rather than as a text file.
You can see a list of software programs here on easyfileopener.org that can open this file type so that you don’t need to search for it on the web. You can then open your file with this extension using a software listed below.