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And are congruent by the ASA criterion
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
△
A
B
C
\triangle ABC
△
A
B
C
and
△
D
E
F
\triangle DEF
△
D
E
F
are congruent by the ASA criterion. In
△
A
B
C
\triangle ABC
△
A
B
C
,
A
B
=
5
cm
AB = 5\,\text{cm}
A
B
=
5
cm
,
∠
A
=
50
∘
\angle A = 50^{\circ}
∠
A
=
5
0
∘
and
∠
B
=
60
∘
\angle B = 60^{\circ}
∠
B
=
6
0
∘
. In
△
D
E
F
\triangle DEF
△
D
E
F
,
D
E
=
5
cm
DE = 5\,\text{cm}
D
E
=
5
cm
and
∠
D
=
50
∘
\angle D = 50^{\circ}
∠
D
=
5
0
∘
. What is the measure of
∠
E
\angle E
∠
E
? (a)
80
∘
80^{\circ}
8
0
∘
(b)
60
∘
60^{\circ}
6
0
∘
(c)
70
∘
70^{\circ}
7
0
∘
(d)
50
∘
50^{\circ}
5
0
∘
Related theory
Triangle Congruence
Triangle Congruence Criteria
Triangles
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