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Byju's Answer
Standard VIII
Mathematics
Rectangle
Two opposite ...
Question
Two opposite angles of a parallelogram are
100
o
each. Find each of the other two opposite angles.
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Solution
Given two opposite angles of a parallelogram are
100
o
each
The sum of adjacent angles of a parallelogram
=
180
o
Hence,
∠
A
+
∠
B
=
180
o
100
o
+
∠
B
=
180
o
∠
B
=
180
o
−
100
o
We get,
∠
B
=
80
o
We know that
The opposite angles of a parallelogram are equal
∠
D
=
∠
B
=
80
o
Therefore, th eother opposite angles
∠
D
=
∠
B
=
80
o
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