MathDB
find the measure of the angle $\angle MCN.$

Source: Albania JTST 2015

October 4, 2023
geometry

Problem Statement

The triangle ABCABC has ∠BCA=90∘.\angle BCA=90^{\circ}. Bisector of angle ∠CAB\angle CAB intersects the side BCBC in point PP and bisector of angle ∠ABC\angle ABC intersects the side ACAC in point Q.Q. If MM and NN are projections of PP and QQ on side ABAB, find the measure of the angle ∠MCN.\angle MCN.
Back to ProblemsView on AoPS