MathDB
min <MQA, MQ=QA, Q incenter (V Soros Olympiad 1998-99 Round 3 10.4)

Source:

May 26, 2024
geometryincenterangles

Problem Statement

Let MM be the midpoint of side BCBC of triangle ABCABC, QQ the point of intersection of its angle bisectors. It is known that MQ=QAMQ=QA. Find the smallest possible value of angle MQA\angle MQA.