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Byju's Answer
Standard VII
Mathematics
Transversal
Find the ∠ x ...
Question
Find the
∠
x
in the given figure, if AB || CD.
A
75
∘
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B
55
∘
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C
160
∘
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D
145
∘
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Solution
The correct option is
D
145
∘
Draw PQ || AB and CD
x
=
∠
C
P
Q
+
∠
B
P
Q
∠
B
P
Q
=
∠
A
B
P
=
20
°
(alternate interior angles)
∠
C
P
Q
+
∠
D
C
P
=
180
°
(co-interior angles are supplementary)
∠
C
P
Q
+
55
°
=
180
°
∠
C
P
Q
=
180
°
−
55
°
=
125
°
Therefore,
x
=
∠
C
P
Q
+
∠
B
P
Q
=
20
°
+
125
°
=
145
°
Answer: (D) 145°
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Similar questions
Q.
Find the
∠
x
in the given figure, if AB || CD.
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.