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Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Parallel
In the given ...
Question
In the given figure AB
∥
CD, Find the value of x
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Solution
S
i
n
c
e
A
B
∥
C
D
∠
B
A
D
=
∠
C
D
A
=
z
∠
B
A
D
=
z
=
75
△
C
O
D
z
+
y
+
35
=
180
75
+
y
+
35
=
180
(
A
n
g
l
e
s
u
m
p
r
o
p
e
r
t
y
)
y
+
110
=
180
y
=
70
∠
y
=
∠
r
=
70
(
v
e
r
t
i
c
a
l
l
y
o
p
p
o
s
i
t
e
a
n
g
l
e
)
I
n
△
A
O
B
∠
x
+
∠
r
+
145
=
180
∠
x
=
35
\\
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Q.
(i) In the given figure, if AB || CD, find the value of x.
(ii) In the given figure, If AB || CD, find the value of x.
(iii) In the given figure, AB || CD, If OA = 3x − 19, OB = x − 4, OC = x − 3 and OD = 4, find x.