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2016 Bangladesh Mathematical Olympiad
3
Angle chasing with 30 and 39 degree
Angle chasing with 30 and 39 degree
Source:
February 23, 2019
geometry
Angle Chasing
Problem Statement
△
A
B
C
\triangle ABC
△
A
BC
is isosceles
A
B
=
A
C
AB = AC
A
B
=
A
C
.
P
P
P
is a point inside
△
A
B
C
\triangle ABC
△
A
BC
such that
∠
B
C
P
=
30
\angle BCP = 30
∠
BCP
=
30
and
∠
A
P
B
=
150
\angle APB = 150
∠
A
PB
=
150
and
∠
C
A
P
=
39
\angle CAP = 39
∠
C
A
P
=
39
. Find
∠
B
A
P
\angle BAP
∠
B
A
P
.
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