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Byju's Answer
Standard IX
Mathematics
Opposite Sides of a Parallelogram Are Equal
In the follow...
Question
In the following figure,
If
∠
B
A
D
=
96
o
, find
∠
B
C
D
and
∠
B
F
E
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Solution
A
B
C
D
is a cyclic quadrilateral.
∴
∠
B
A
D
+
∠
B
C
D
=
180
°
(
∵
In a cyclic quadrilateral, pair of opposite angles are supplementary.
)
⇒
∠
B
C
D
=
180
°
−
96
°
=
84
°
∴
∠
B
C
E
=
180
°
−
∠
B
C
E
=
180
°
−
84
°
=
96
°
Similarly,
B
C
E
F
is a quadrilateral.
∠
B
C
E
+
∠
B
F
E
=
180
°
⇒
∠
B
F
E
=
180
°
−
96
°
=
84
°
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Standard IX Mathematics
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