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Byju's Answer
Standard IX
Mathematics
Congruent Triangles
Δ ABC ∼Δ PQR....
Question
Δ
A
B
C
∼
Δ
P
Q
R
. If
∠
B
of
Δ
A
B
C
and
∠
R
of
Δ
P
Q
R
are
60
∘
, then
∠
RPQ =
A
120
∘
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B
60
∘
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C
30
∘
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Solution
The correct option is
B
60
∘
Given:
△
ABC
∼
△
PQR
∠
B
=
∠
R
=
60
∘
Here,
∠
B
=
∠
Q
a
n
d
∠
C
=
∠
R
[
∵
△
A
B
C
∼
△
P
Q
R
, corresponding angles will be equal ]
⇒
∠
B
=
∠
Q
=
60
∘
,
∠
C
=
∠
R
=
60
∘
and
∠
A
=
∠
P
As sum of the angles in a triangle is
180
∘
,
∠
A
=
∠
P
=
60
∘
.
⇒
∠
R
P
Q
=
60
∘
Suggest Corrections
0
Similar questions
Q.
Δ
A
B
C
∼
Δ
P
Q
R
. If
∠
B
of
Δ
A
B
C
and
∠
R
of
Δ
P
Q
R
are
60
∘
, then
∠
RPQ =
Q.
Δ
A
B
C
∼
Δ
P
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R
. If
∠
B
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B
C
and
∠
R
of
Δ
P
Q
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are
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∘
, then
∠
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If
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A
B
C
and
Δ
P
Q
R
are congruent under the correspondence
A
B
C
↔
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P
Q
, then the part of
Δ
A
B
C
that correspond to
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is:
Q.
If
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∼
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