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Byju's Answer
Standard X
Mathematics
Properties of Cyclic Quadrilateral
A cyclic quad...
Question
A cyclic quadrilateral ABCD is such that AB= BC, AD = DC. If AC⊥BD and ∠CAD = 30°, then ∠ABC equals 1) 15° 2) 30° 3) 60° 4) 120°
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Similar questions
Q.
Construct a cyclic quadrilateral
A
B
C
D
such that
A
B
=
3.4
c
m
,
B
C
=
4.2
c
m
,
A
D
=
2.7
c
m
and
∠
A
B
C
=
60
∘
.
Then,
l
(
C
D
)
=
?
Q.
Construct a cyclic quadrilateral
A
B
C
D
such that
A
B
=
6
c
m
,
∠
A
=
60
∘
,
∠
A
B
D
=
30
∘
and
∠
C
B
D
=
20
∘
.
Then,
l
(
C
D
)
=
?
Q.
Construct a cyclic quadrilateral
A
B
C
D
such that
A
B
=
3.4
c
m
,
B
C
=
4.2
c
m
,
A
D
=
2.7
c
m
and
∠
A
B
C
=
60
∘
.
Then, diameter of the circle circumscribing the cyclic quadrilateral is:
Q.
Construct a cyclic quadrilateral
A
B
C
D
such that
A
B
=
3.4
c
m
,
B
C
=
4.2
c
m
,
A
D
=
2.7
c
m
and
∠
A
B
C
=
60
∘
.
Then,
m
∠
A
D
C
(in degrees)
=
?
Q.
Construct a cyclic quadrilateral
A
B
C
D
such that
A
B
=
6
c
m
,
∠
A
=
60
∘
,
∠
A
B
D
=
30
∘
and
∠
C
B
D
=
20
∘
.
Then, perimeter of
△
A
B
D
is:
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