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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
,
∠
A
=
45
∘
\angle A = 45^{\circ}
∠
A
=
4
5
∘
,
∠
B
=
60
∘
\angle B = 60^{\circ}
∠
B
=
6
0
∘
and
A
B
=
6
cm
AB = 6\,\text{cm}
A
B
=
6
cm
. In
△
D
E
F
\triangle DEF
△
D
E
F
,
∠
D
=
45
∘
\angle D = 45^{\circ}
∠
D
=
4
5
∘
,
∠
E
=
60
∘
\angle E = 60^{\circ}
∠
E
=
6
0
∘
and
D
E
=
6
cm
DE = 6\,\text{cm}
D
E
=
6
cm
. (i) Are
△
A
B
C
\triangle ABC
△
A
B
C
and
△
D
E
F
\triangle DEF
△
D
E
F
congruent? (ii) If yes, write the measure of
∠
C
\angle C
∠
C
.
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