MathDB

Find value of <MAN

Source: BdMO 2022 Secondary P2

April 11, 2022

geometry

Problem Statement

In

\triangle ABC, \angle BAC

is a right angle.

BP

and

CQ

are bisectors of

\angle B

and

\angle C

respectively, which intersect

AC

and

AB

at

P

and

Q

respectively. Two perpendicular segments

PM

and

QN

are drawn on

BC

from

P

and

Q

respectively. Find the value of

\angle MAN

with proof.

Back to Problems View on AoPS