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Byju's Answer
Standard IX
Mathematics
Parallelogram
Two adjacent ...
Question
Two adjacent angles of a parallelogram are (3x − 4)° and (3x + 10)°. Find the angles of the parallelogram.
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Solution
We
know
that
the
adjacent
angle
s
of
a
parallelogram
are
supplementry
.
Hence
,
3
x
+
10
°
a
n
d
3
x
-
4
°
are
supplementry
.
3
x
+
10
°
+
3
x
-
4
°
=
180
°
6
x
°
+
6
°
=
180
°
6
x
°
=
174
°
x
=
29
°
First
angle
=
3
x
+
10
°
=
3
×
29
°
+
10
°
=
97
°
Second
angle
=
3
x
-
4
°
=
83
°
Thus
,
the
angles
of
the
parallelogram
are
97
°
,
83
°
,
97
°
and
83
°
.
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