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Byju's Answer
Standard IX
Mathematics
Angle Subtended by a Chord at a Point on the Circle
Find the valu...
Question
Find the value of
x
in degrees from the given figure if
∠
A
O
B
=
70
∘
and
A
B
=
C
D
.
70
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Solution
The correct option is
A
70
From the given figure, AB and CD are chords.
Given:
A
B
=
C
D
∠
A
O
B
=
70
°
The angle subtended by the chord AB is
∠
A
O
B
,
and the angle subtended by the chord CD is
∠
C
O
D
=
x
.
We know that, equal chords subtend equal angles at the centre.
⇒
∠
A
O
B
=
∠
C
O
D
=
x
Thus,
x
=
70
∘
.
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