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Byju's Answer
Standard IX
Mathematics
Vertically Opposite Angles
In fig. lines...
Question
In fig. lines AB and CD intersects each other at O. If
∠
A
O
C
=
30
o
, find
∠
B
O
D
.
A
30
o
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B
150
o
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C
60
o
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D
75
o
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Solution
The correct option is
A
30
o
∠
A
O
C
=
30
o
(given)
∵
∠
A
O
C
and
∠
B
O
D
are vertically opposite angle
∴
∠
A
O
C
=
∠
B
O
D
∴
∠
B
O
D
=
30
o
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Q.
Two lines AB and CD intersect at O. If ∠AOC + ∠COB + ∠BOD = 270°, find the measures of ∠AOC, ∠COB, ∠BOD and ∠DOA.