MathDB
angle wanted, 75-60-45 triangle, BC=CT (2019 Kyiv City MO Round2 8.4)

Source:

September 17, 2020
geometryanglesequal segments

Problem Statement

In the triangle ABCABC it is known that∠A=75o,∠C=45o\angle A = 75^o, \angle C = 45^o. On the ray BCBC beyond the point CC the point TT is taken so that BC=CTBC = CT. Let MM be the midpoint of the segment ATAT. Find the measure of the ∠BMC\angle BMC.
(Anton Trygub)
Back to ProblemsView on AoPS