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Byju's Answer
Standard IX
Mathematics
Sum of Opposite Angles of a Cyclic Quadrilateral
In the given ...
Question
In the given figure, ABCD is a cyclic quadrilateral in which
∠
B
A
D
=
120
∘
. Find
∠
B
C
D
.
A
240
∘
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B
60
∘
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C
120
∘
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D
180
∘
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Solution
The correct option is
B
60
∘
Sum of the opposite angles in a cyclic quadrilateral
=
180
∘
∴
∠
B
A
D
+
∠
B
C
D
=
180
∘
∠
B
C
D
=
180
∘
−
∠
B
A
D
=
180
∘
−
120
∘
=
60
∘
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Similar questions
Q.
In the given figure, AOB is a diameter and ABCD is a cyclic quadrilateral. If
∠
ADC = 120
°, then ∠BAC = ?
(a) 60°
(
b
) 30°
(
c
) 20°
(d) 45°