Near what trail is a lake Rangeley Lake  flows into?
Appalachian Trail.
Title: Rangeley Lake
Passage: Rangeley Lake is located in Franklin County, Maine in the United States.  It is fed by several streams.  Its waters flow out from the lake's northwestern end into the short Rangeley River, then into Mooselookmeguntic Lake, and ultimately into the Androscoggin River, Merrymeeting Bay, the lower Kennebec River, the Gulf of Maine and the Atlantic Ocean.
Title: Mooselookmeguntic Lake
Passage: Mooselookmeguntic Lake is located in Franklin County and Oxford County, Maine, in the United States.  It is part of the Androscoggin River watershed.  It is located in the western part of Maine, near the border with the state of New Hampshire and the Canadian province of Quebec.  The lake is just a few miles from the Appalachian Trail.
Title: Mud Lake (Jefferson County, New York)
Passage: Mud Lake is located by Redwood, New York.  The water from adjacent Crystal Lake flows into Mud Lake and the outlet flows into Butterfield Lake.  Fish species present in the lake are northern pike, yellow perch, brown bullhead, and bluegill.  The outlet of the lake flows into Butterfield Lake.  There is only carry-down boat access on this lake.
Rangeley Lake Mooselookmeguntic Lake