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Standard VIII
Mathematics
Rhombus
Question
In the given figure, ABCD is a rhombus in which AC
=
AB, then
∠
A
B
C
equals to :
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Solution
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Since
A
B
C
D
is a Rhombus then
A
B
=
B
C
=
C
D
=
D
A
But we have
A
C
=
A
B
Therefore, we get
A
C
=
B
C
That is
A
B
=
B
C
=
A
C
⇒
Δ
A
B
C
is a equilateral triangle.
Therefore
∠
A
B
C
=
∠
B
C
D
=
∠
B
A
C
=
60
°
Hence
∠
A
B
C
=
60
∘
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