MathDB

Let

[ABC]

be a acute-angled triangle and its circumscribed circle

\Gamma

. Let

D

be the point on the line

AB

such that

A

is the midpoint of the segment

[DB]

and

P

is the point of intersection of

CD

with

\Gamma

. Points

W

and

L

lie on the smaller arcs \overarc{BC} and \overarc{AB}, respectively, and are such that \overarc{BW} = \overarc{LA }= \overarc{AP}. The

LC

and

AW

lines intersect at

Q

. Shows that

LQ = BQ

Problem Statement