MathDB

Determining angle in a Triangle

Source: Tournament of Towns Spring 2016

February 22, 2017

geometry

Problem Statement

Let

M

be the midpoint of the base

AC

of an isosceles

\triangle ABC

. Points

E

and

F

on the sides

AB

and

BC

respectively are chosen so that

AE \neq CF

and

\angle FMC = \angle MEF = \alpha

. Determine

\angle AEM

. (6 points)
Maxim Prasolov

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