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Contests
National and Regional Contests
Belgium Contests
Flanders Math Olympiad
2019 Flanders Math Olympiad
3
3
Part of
2019 Flanders Math Olympiad
Problems
(1)
angle chasing starting with a 120-40-20 triangle ABC, | CP | = | AB | - | BC |
Source: 2019 VWO Flanders MO p3
8/7/2020
In triangle
△
A
B
C
\vartriangle ABC
△
A
BC
holds
∠
A
=
4
0
o
\angle A= 40^o
∠
A
=
4
0
o
and
∠
B
=
2
0
o
\angle B = 20^o
∠
B
=
2
0
o
. The point
P
P
P
lies on the line
A
C
AC
A
C
such that
C
C
C
is between
A
A
A
and
P
P
P
and
∣
C
P
∣
=
∣
A
B
∣
−
∣
B
C
∣
| CP | = | AB | - | BC |
∣
CP
∣
=
∣
A
B
∣
−
∣
BC
∣
. Calculate the
∠
C
B
P
\angle CBP
∠
CBP
.
geometry
angles
Angle Chasing