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Question
identify the angle measures from largest to smallest? *
Step1: Recall the triangle side - angle relationship
In a triangle, the larger the side length, the larger the angle opposite it.
Step2: Identify the side lengths and their opposite angles
In \(\triangle QLB\), side \(LB = 10.5\) (opposite \(\angle Q\)), side \(QL=8.75\) (opposite \(\angle B\)), side \(QB = 3.5\) (opposite \(\angle L\)).
Since \(10.5>8.75 > 3.5\), then \(\angle Q>\angle B>\angle L\) (by the side - angle relationship in a triangle).
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\(\angle Q,\angle B,\angle L\) (corresponding to the option \(\angle Q,\angle B,\angle L\) which is not exactly in the given options as written in the problem's option format, but following the logic: if we assume the options are mis - written in terms of symbol representation and the intended meaning is \(\angle Q>\angle B>\angle L\))