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Byju's Answer
Standard IX
Mathematics
Adjacent Angles
In Δ PQR S ...
Question
In
Δ
P
Q
R
S is a point on PQ such that SR = QR = SP. and
∠
P
S
R
=
120
∘
.Find
∠
P
.
Open in App
Solution
In
Δ
P
R
S
P
S
=
S
R
⟹
∠
P
=
∠
R
=
x
∠
S
=
120
By Angle sum property
x
+
x
+
120
=
180
2
x
=
180
−
120
x
=
60
2
=
30
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0
Similar questions
Q.
In
Δ
P
Q
R
and
Δ
S
Q
R
,
¯
¯¯¯¯¯¯
¯
P
Q
=
¯
¯¯¯¯¯¯
¯
S
R
and
∠
P
Q
R
=
∠
Q
R
S
then:
Q.
Q is a point on the side SR of a
Δ
P
S
R
such that PQ = PR. Prove that PS > PQ.
Q.
S
and
T
are points on sides
P
R
and
Q
R
of
Δ
P
Q
R
such that
∠
P
=
∠
R
T
S
. Show that
Δ
P
R
Q
∼
Δ
R
T
S
.
Q.
Question 5
If Q is a point on the side SR of a
Δ
P
S
R
such that PQ = PR, then prove that PS > PQ.
Q.
In
Δ
P
Q
R
,
S
is any point on side
Q
R
. Show that
P
Q
+
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+
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>
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