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Byju's Answer
Standard VII
Mathematics
Linear Pair
In Fig., ∠ ...
Question
In Fig.,
∠
A
O
C
and
∠
B
O
C
form a linear pair. If
a
−
2
b
=
30
∘
,
find a and b.
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Solution
∠
A
O
C
and
∠
B
O
C
form a linear pair.
∠
A
O
C
=
a
and
∠
B
O
C
=
b
∴
a
+
b
=
180
o
[ Linear pair ] ------ ( 1 )
⇒
a
−
2
b
=
30
o
----- ( 2 )
Subtracting equation ( 2 ) from ( 1 ) we get,
⇒
3
b
=
150
o
⇒
b
=
50
o
Substituting value of
b
in ( 1 ) we get,
⇒
a
+
50
o
=
180
o
∴
a
=
130
o
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Q.
In the figure,
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and
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form a linear pair. If
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Q.
In the given figure, ∠AOC and ∠BOC form a linear pair. If a − 2b = 30°, find a and b.