MathDB

A point

D

is taken on the arc

BC

of the circumcircle of triangle

ABC

which does not contain

A

. A point

E

is taken at the intersection of the interior region of the triangles

ABC

and

ADC

such that

m(\widehat{ABE})=m(\widehat{BCE})

. Let the circumcircle of the triangle

ADE

meets the line

AB

for the second time at

K

. Let

L

be the intersection of the lines

EK

and

BC

M

be the intersection of the lines

EC

and

AD

N

be the intersection of the lines

BM

and

DL

. Prove that

m(\widehat{NEL})=m(\widehat{NDE})

Problem Statement