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Byju's Answer
Standard VII
Mathematics
Equal Angles Subtend Equal Sides
In figure ∠...
Question
In figure
∠
1
=
∠
2
and
Δ
N
S
Q
≅
Δ
M
T
R
, then prove that
Δ
P
T
S
∼
Δ
P
R
Q
.
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Solution
S
i
n
c
e
,
∠
1
=
∠
2
i
,
e
,
P
S
=
P
T
→
(
i
)
a
n
d
Δ
N
S
Q
≅
Δ
M
T
R
∴
S
Q
=
T
R
→
(
i
i
)
I
n
Δ
P
T
S
&
Δ
P
R
S
∠
P
=
∠
P
(
c
o
m
m
o
n
)
→
(
i
i
i
)
P
S
P
T
=
S
Q
T
R
i
,
e
.
P
S
S
Q
=
P
T
T
R
P
S
+
S
Q
S
Q
=
P
T
+
T
R
T
R
P
S
S
Q
=
P
R
P
T
→
(
i
v
)
f
r
o
m
e
q
u
a
t
i
o
n
(
i
i
i
)
&
(
i
v
)
,
w
e
g
e
t
Δ
P
T
S
∼
Δ
P
R
S
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Q.
In figure, if
∠
1
=
∠
2
and
Δ
N
S
Q
≅
Δ
M
T
R
, then prove that
Δ
P
T
S
∼
Δ
P
R
Q
Q.
In the given figure
∠
1
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and
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∼
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Question 3
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∠
1
=
∠
2
and
Δ
N
S
Q
≅
Δ
M
T
R
, then prove that
Δ
P
T
S
∼
Δ
P
R
Q
.
Q.
Question 3
In figure, if
∠
1
=
∠
2
and
Δ
N
S
Q
≅
Δ
M
T
R
, then prove that
Δ
P
T
S
∼
Δ
P
R
Q
.
Q.
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