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Byju's Answer
Standard VII
Mathematics
Angles Associated with Two Parallel Lines and a Transversal
In the given ...
Question
In the given figure, if AB || CD, then find the value of
x
.
Note: The line p is parallel to AB and CD.
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Solution
∠
1
=
45
∘
[Alternate interior angles are equal]
∠
2
=
30
∘
[Alternate interior angles are equal]
∠
B
O
C
=
∠
1
+
∠
2
⇒
∠
B
O
C
=
45
∘
+
30
∘
=
75
∘
Angle around a point is 360°.
So,
x
+
∠
B
O
C
=
360
°
⇒
x
= 360° -
∠
BOC
⇒
x
= 360° - 75° = 285°
Hence, the value of x is 285°.
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