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In a circle with centre
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
In a circle with centre
O
O
O
,
A
B
AB
A
B
is a diameter. Moving along the circumference from
A
A
A
to
B
B
B
, the distinct points
C
C
C
and
D
D
D
lie in that order on the circle. Given
∠
C
A
B
=
38
∘
\angle CAB = 38^\circ
∠
C
A
B
=
3
8
∘
and
∠
C
B
D
=
25
∘
\angle CBD = 25^\circ
∠
C
B
D
=
2
5
∘
, find the measure of
∠
A
O
D
\angle AOD
∠
A
O
D
. (a)
126
∘
126^{\circ}
12
6
∘
(b)
154
∘
154^{\circ}
15
4
∘
(c)
104
∘
104^{\circ}
10
4
∘
(d)
180
∘
180^{\circ}
18
0
∘
Related theory
Circles
Circle angle properties
Angle subtended by a chord
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