MathDB

angle chasing, arc midpoint, incenter, cicumcenter related

Source: Indian Postal Coaching 2008 set 5 p1

May 25, 2020

geometryincentercircumcircleright anglearc midpointanglesAngle Chasing

Problem Statement

In triangle

ABC,\angle B > \angle C, T

is the midpoint of arc

BAC

of the circumcicle of

ABC

, and

I

is the incentre of

ABC

. Let

E

be point such that

\angle AEI = 90^0

and

AE

is parallel to

BC

. If

TE

intersects the circumcircle of

ABC

P(\ne T)

and

\angle B = \angle IPB

, determine

\angle A