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Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Parallel
In the given ...
Question
In the given figure,
A
D
is a diameter.
O
is the centre of the circle.
A
D
is parallel to
B
C
and
∠
C
B
D
=
32
∘
. Find
∠
O
B
D
(in
∘
).
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Solution
Given:
A
D
∥
B
C
∴
∠
A
D
B
=
∠
D
B
C
=
32
∘
(alternate angles)
∵
O
B
=
O
D
(radii of the circle)
∴
∠
O
B
D
=
32
∘
(angles opposite to equal sides of a triangle)
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Q.
In the given figure, O is the centre of a circle and
∠
O
A
B
=
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∠
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D
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Q.
In the given figure, AB and CD are diameters of a circle with centre O. If ∠OBD = 50°, find ∠AOC.