2016 APMO Problems/Problem 3
Revision as of 21:51, 11 July 2021 by Satisfiedmagma (talk | contribs) (Created page with "==Problem== Let <math>AB</math> and <math>AC</math> be two distinct rays not lying on the same line, and let <math>\omega</math> be a circle with center <math>O</math> that i...")
Problem
Let 
and 
be two distinct rays not lying on the same line, and let 
be a circle with center 
that is tangent to ray at 
and ray at 
. Let 
be a point on segment 
. The line through parallel to intersects line at 
. Let 
be the intersection of lines 
and , and let 
be the intersection of line and the line through parallel to . Prove that line 
is tangent to .
