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Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2014 India PRMO
16
16
Part of
2014 India PRMO
Problems
(1)
2014 preRMO p16, angle chasing candidate, incenter, incircle related
Source:
8/9/2019
In a triangle
A
B
C
ABC
A
BC
, let
I
I
I
denote the incenter. Let the lines
A
I
,
B
I
AI,BI
A
I
,
B
I
and
C
I
CI
C
I
intersect the incircle at
P
,
Q
P,Q
P
,
Q
and
R
R
R
, respectively. If
∠
B
A
C
=
4
0
o
\angle BAC = 40^o
∠
B
A
C
=
4
0
o
, what is the value of
∠
Q
P
R
\angle QPR
∠
QPR
in degrees ?
geometry
incenter
incircle
angles
Angle Chasing