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given side equality, find angle

Source: Moldova 2000 Grade 7 P8

April 23, 2021

geometryTriangle

Problem Statement

Points

D

and

N

on the sides

AB

and

BC

and points

E,M

on the side

AC

of an equilateral triangle

ABC

, respectively, with

E

between

A

and

M

, satisfy

AD+AE=CN+CM=BD+BN+EM

. Determine the angle between the lines

DM

and

EN

.

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