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Standard IX
Mathematics
Parallel Lines with Transversal
Question
Find
∠
A
P
B
, if
A
E
|
|
B
R
.
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Solution
Verified by Toppr
given
A
E
∥
B
R
Now AB acts as transversal.
∠
A
+
∠
B
=
180
∘
(interior angles of same side of transversal are supplementary )
∴
2
x
+
2
y
=
180
∘
2
(
x
+
y
)
=
180
∘
x
+
y
=
90
∘
Now in
Δ
A
P
B
∠
P
A
B
+
∠
P
B
A
+
∠
A
P
B
=
180
∘
X
+
Y
+
∠
A
P
B
=
180
∘
But
x
+
y
=
90
∘
∴
∠
A
P
B
=
180
∘
−
(
x
+
y
)
∠
A
P
B
=
180
∘
−
90
∘
∠
A
P
B
=
90
∘
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Similar Questions
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Find
∠
A
P
B
, if
A
E
|
|
B
R
.
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Q2
In the given figure, if
∠
A
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B
=
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o
, find the
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(
a
r
c
A
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B
)
.
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Q3
From the figure shown, find
∠
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∠
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.
__
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Q4
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, diagonals
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Q5
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