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Problems
In quadrilateral
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
In quadrilateral
A
B
C
D
ABCD
A
B
C
D
, it is given that
∠
A
B
C
=
∠
A
D
C
\angle ABC = \angle ADC
∠
A
B
C
=
∠
A
D
C
. Which statement necessarily follows? (a)
A
B
∥
C
D
AB \parallel CD
A
B
∥
C
D
. (b)
A
B
C
D
is a parallelogram.
ABCD\,\text{is a parallelogram.}
A
B
C
D
is a parallelogram.
(c)
A
B
C
D
is a cyclic quadrilateral.
ABCD\,\text{is a cyclic quadrilateral.}
A
B
C
D
is a cyclic quadrilateral.
(d)
A
B
=
C
D
AB = CD
A
B
=
C
D
.
Related theory
Cyclic Quadrilaterals
Circles
Cyclic quadrilateral properties
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