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Byju's Answer
Standard VIII
Mathematics
Opposite Angles in a Parallelogram Are Equal
In a parallel...
Question
In a parallelogram ABCD if A=45° then find other angle
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Solution
In
the
parallelogram
ABCD
,
it
is
given
that
∠
A
=
45
∘
.
As
the
adjacent
angles
of
a
parallelogram
are
supplementary
,
then
∠
A
+
∠
B
=
180
∘
⇒
45
∘
+
∠
B
=
180
∘
⇒
∠
B
=
180
∘
-
45
∘
=
135
∘
.
Also
,
∠
A
+
∠
D
=
180
∘
Adjacent
angles
are
supplementary
⇒
45
∘
+
∠
D
=
180
∘
⇒
∠
D
=
180
∘
-
45
∘
=
135
∘
.
Now
,
∠
C
+
∠
D
=
180
∘
Adjacent
angles
are
supplementary
⇒
135
∘
+
∠
C
=
180
∘
⇒
∠
C
=
180
∘
-
135
∘
=
45
∘
.
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