is given. 
is a circle with diameter 
is a circle with diameter 
.
and 
.
meets 
and 
.
meets 
at 
,
meets 
at 
.
and 
.
meets 
at 
.
.
.
and 
be the incentre and circumcentre of 
be the midpoint of the arc 
.
given that 
.
Y by
Let 
be a point on the side 
of the triangle 
such that 
, and let the points 
on the side 
and 
on the extension 
beyond the point 
be such that 
. The lines 
and 
intersect at the point 
. Prove that is the bisector of the angle 
.
be a point on the side 
of the triangle 
such that 
, and let the points 
on the side 
and 
on the extension 
beyond the point 
be such that 
. The lines 
and 
intersect at the point 
. Prove that is the bisector of the angle 
.This post has been edited 1 time. Last edited by parmenides51, Jun 27, 2022, 9:30 AM
