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Contests
National and Regional Contests
Bangladesh Contests
Bangladesh Mathematical Olympiad
2022 Bangladesh Mathematical Olympiad
2
2
Part of
2022 Bangladesh Mathematical Olympiad
Problems
(1)
Find value of <MAN
Source: BdMO 2022 Secondary P2
4/11/2022
In
△
A
B
C
,
∠
B
A
C
\triangle ABC, \angle BAC
△
A
BC
,
∠
B
A
C
is a right angle.
B
P
BP
BP
and
C
Q
CQ
CQ
are bisectors of
∠
B
\angle B
∠
B
and
∠
C
\angle C
∠
C
respectively, which intersect
A
C
AC
A
C
and
A
B
AB
A
B
at
P
P
P
and
Q
Q
Q
respectively. Two perpendicular segments
P
M
PM
PM
and
Q
N
QN
QN
are drawn on
B
C
BC
BC
from
P
P
P
and
Q
Q
Q
respectively. Find the value of
∠
M
A
N
\angle MAN
∠
M
A
N
with proof.
geometry