Solve
Guides
Join / Login
Use app
Login
0
You visited us
0
times! Enjoying our articles?
Unlock Full Access!
Standard VIII
Mathematics
Rhombus
Question
ABCD is a rhombus. If
∠
B
A
C
=
38
∘
, find
∠
A
D
C
84
o
104
o
36
o
68
o
A
104
o
B
36
o
C
84
o
D
68
o
Open in App
Solution
Verified by Toppr
Given is a rhombus ABCD &
∠
B
A
C
=
38
o
.
We know that all sides of a rhombus are equal.
So AB=BC=CD=DA
In isosceles
△
ABC,
∠
B
A
C
=
∠
B
C
A
=
38
o
[ Base angles are equal in isosceles triangle ]
Again in isosceles triangle ABC,
∠
B
A
C
+
∠
B
C
A
+
∠
A
B
C
=
180
o
⇒
∠
A
B
C
=
180
o
−
38
o
−
38
o
⇒
∠
A
B
C
=
180
o
−
76
o
⇒
∠
A
B
C
=
104
o
We know that Opposite angles of a rhombus have equal measure.
So
∠
A
B
C
=
∠
A
D
C
Therefore
∠
A
D
C
=
104
o
Was this answer helpful?
3
Similar Questions
Q1
ABCD is a rhombus. If
∠
B
A
C
=
38
∘
, find
∠
A
D
C
View Solution
Q2
In given figure
A
B
C
D
is a rhombus. If
∠
B
A
C
=
38
o
, find:
∠
A
D
C
View Solution
Q3
In a rhombus
A
B
C
D
,
∠
B
A
C
=
38
∘
. Find (i)
∠
A
C
D
, (ii)
∠
D
A
C
and (iii)
∠
A
D
C
View Solution
Q4
ABCD is a rhombus. if
∠
B
A
C
=
38
∘
,
f
i
n
d
:
(
i
)
∠
A
C
B
(
i
i
)
∠
D
A
C
(
i
i
i
)
∠
A
D
C
.
View Solution