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Byju's Answer
Standard X
Mathematics
Relation between Angle Subtended by an Arc inside & outside the Circle with Angle in Semicircle
Question 9 In...
Question
Question 9
In the figure, BC is a diameter of the circle and
∠
B
A
O
=
60
∘
. Then,
∠
A
D
C
is equal to
(A)
30
∘
(B)
45
∘
(C)
60
∘
(D)
120
∘
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Solution
(C)
60
∘
Given,
∠
B
A
O
=
60
∘
In
Δ
A
O
B
OA = OB
⇒
∠
O
B
A
=
∠
B
A
O
[angles opposite to equal sides are equal]
⇒
∠
B
A
O
=
∠
O
B
A
=
60
∘
We know that,
∠
A
B
C
=
∠
A
D
C
[ angles in the same segment AC are equal]
∴
∠
A
D
C
=
60
∘
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Similar questions
Q.
In the given figure, O is the centre of a circle, BC is a diameter and ∠BAO = 60°. Then, ∠ADC = ?
(a) 30°
(b) 45°
(c) 60°
(d) 120°