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Byju's Answer
Standard X
Mathematics
Angle Subtended by an Arc of a Circle on the Circle and at the Center
In fig., if l...
Question
In fig., if
<
O
A
B
=
40
∘
, the < ACB is equal to:
A
50
∘
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B
40
∘
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C
60
∘
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D
70
∘
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Solution
The correct option is
A
50
∘
Since OA = OB
Therefore
∠
O
A
B
=
∠
O
B
A
=
40
∘
Now,
∠
A
O
B
=
180
−
(
40
+
40
)
=
100
∘
(By angle sum property of a triangle)
⇒
∠
A
C
B
=
50
∘
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Similar questions
Q.
In the given figure, O is the centre of a circle. If ∠OAB = 40°, then ∠ACB = ?
(a) 40°
(b) 50°
(c) 60°
(d) 70°