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Byju's Answer
Standard X
Mathematics
Inscribed Angle Theorem
If ∠ BCD=50∘,...
Question
If
∠
B
C
D
=
50
∘
,
then
∠
B
A
D
= ___.
A
50
∘
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B
100
∘
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C
25
∘
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D
70
∘
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Solution
The correct option is
A
50
∘
We know that angles in the same segment are equal.
Note that
∠
B
C
D
and
∠
B
A
D
are in the same segment BD.
⟹
∠
B
A
D
=
∠
B
C
D
=
50
∘
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Similar questions
Q.
ABCD is a cyclic quadrilateral. If
∠
B
C
D
=
100
∘
and
∠
A
B
D
=
70
∘
,
then find
∠
A
D
B
.
Q.
In ∆ABC, it is given that
A
B
A
C
=
B
D
D
C
.
If
∠
B
=
70
°
and
∠
C
=
50
°
,
then
∠
B
A
D
=
?
(a) 30°
(b) 40°
(c) 45°
(d) 50°