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Byju's Answer
Standard VII
Mathematics
Congruency of Triangles
Two congruent...
Question
Two congruent triangles,
△
A
B
C
and
△
Q
R
P
, have
∠
A
=
∠
Q
= 40
∘
,
∠
R
= 65
∘
and QR = AB, then
∠
B
= ____ .
A
50
∘
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B
75
∘
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C
65
∘
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D
80
∘
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Solution
The correct option is
C
65
∘
Since
△
ABC
≅
△
QRP,
corresponding parts of the triangles are equal.
∴
∠
B corresponds to
∠
R.
So,
∠
B =
∠
R = 65
∘
.
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Similar questions
Q.
Two congruent triangles,
△
A
B
C
and
△
Q
R
P
, have
∠
A
=
∠
Q
= 40
∘
,
∠
R
= 65
∘
and QR = AB, then
∠
B
= ____ .
Q.
In triangles ABC and DEF, ∠A = ∠E = 40°, AB : ED = AC : EF and ∠F = 65°, then ∠B =
(a) 35°
(b) 65°
(c) 75°
(d) 85°