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Byju's Answer
Standard VI
Mathematics
Congruent Angles
67.In quadril...
Question
67.In quadrilateral ABCD if bisectors of angle ABC and angle ADC meet on the diagonal AC then prove that the bisectors of angle BAD and angle BCD will meet on the diagonal BD.
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Similar questions
Q.
In a quadrilateral ABCD, If bisectors of the
∠
A
B
C
and
∠
A
D
C
meet on the diagonal AC, prove that the bisectors of
∠
B
A
D
and
∠
B
C
D
will meet on the diagonal BD.
Q.
In a square
A
B
C
D
, its diagonals
A
C
and
B
D
intersect each other at point
O
. The bisector of angle
D
A
O
meets
B
D
at point
M
and the bisector of angle
A
B
D
meet
A
C
at
N
and
A
M
at
L
. Show that:
∠
O
N
L
+
∠
O
M
L
=
180
o
∠
B
A
M
=
∠
B
M
A
A
L
O
B
i
s
a
c
y
c
l
i
c
q
u
a
d
r
i
l
a
t
e
r
a
l
.
Q.
In the figure below, the diagonal
A
C
of quadrilateral
A
B
C
D
bisects
∠
B
A
D
and
∠
B
C
D
.
Then
B
C
=
m
D
C
.Find
m
Q.
In the given figure, ABCD is a quadrilateral and
∠
A
D
C
=
a
∘
,
∠
B
C
D
=
b
∘
.
AO and BO are bisectors of
∠
D
A
B
and
∠
A
B
C
respectively meeting at O. Find
∠
A
O
B
in terms of
a
∘
and
b
∘
.
Q.
Ina quadrilateral
A
B
C
D
,
A
B
=
A
D
and
C
B
=
C
D
. Prove that :(i)
A
C
bisects angle
B
A
D
.(ii)
A
C
is perpendicular bisector of
B
D
.
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