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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
, the central angles corresponding to the arcs
A
B
AB
A
B
,
B
C
BC
B
C
and
C
A
CA
C
A
of triangle
A
B
C
ABC
A
B
C
are
(
3
x
+
20
)
∘
(3x + 20)^\circ
(
3
x
+
20
)
∘
,
(
2
x
−
10
)
∘
(2x - 10)^\circ
(
2
x
−
10
)
∘
and
(
5
x
+
10
)
∘
(5x + 10)^\circ
(
5
x
+
10
)
∘
respectively. What is the measure of
∠
B
A
C
\angle BAC
∠
B
A
C
? (a)
58
∘
58^\circ
5
8
∘
(b)
29
∘
29^\circ
2
9
∘
(c)
34
∘
34^\circ
3
4
∘
(d)
61
∘
61^\circ
6
1
∘
Related theory
Circles
Circle angle properties
Angle subtended by a chord
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