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Mathematics
Mathematics
Problem
△
A
B
C
≅
△
D
E
F
\triangle ABC \cong \triangle DEF
△
A
B
C
≅
△
D
E
F
with correspondence
A
B
↔
D
E
AB \leftrightarrow DE
A
B
↔
D
E
,
B
C
↔
E
F
BC \leftrightarrow EF
B
C
↔
E
F
and
C
A
↔
F
D
CA \leftrightarrow FD
C
A
↔
F
D
. Also,
△
D
E
F
≅
△
P
Q
R
\triangle DEF \cong \triangle PQR
△
D
E
F
≅
△
P
QR
with correspondence
D
E
↔
P
R
DE \leftrightarrow PR
D
E
↔
P
R
,
E
F
↔
P
Q
EF \leftrightarrow PQ
E
F
↔
P
Q
and
F
D
↔
Q
R
FD \leftrightarrow QR
F
D
↔
QR
. If
∠
B
A
C
=
42
∘
\angle BAC = 42^{\circ}
∠
B
A
C
=
4
2
∘
, what is the measure of
∠
Q
R
P
\angle QRP
∠
QR
P
? a)
60
∘
60^{\circ}
6
0
∘
b)
84
∘
84^{\circ}
8
4
∘
c)
48
∘
48^{\circ}
4
8
∘
d)
42
∘
42^{\circ}
4
2
∘
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