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2AP=BC, X,Y symmetric to P, find C

Source: 239 2011 J1

May 17, 2020

geometry

Problem Statement

In the acute triangle

P

on

AC

point

P

is chosen such that

2AP=BC

. Points

X

and

Y

are symmetric to

P

wrt

A

and

C

respectively. It turned out that

BX=BY

. Find angle

C

.

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