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In a circle, and are inscribed angles standing on the same arc . Which of the…
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
In a circle,
∠
A
B
C
\angle ABC
∠
A
B
C
and
∠
A
D
C
\angle ADC
∠
A
D
C
are inscribed angles standing on the same arc
A
C
AC
A
C
. Which of the following is always true? (a)
∠
A
B
C
=
2
∠
A
D
C
\angle ABC = 2\angle ADC
∠
A
B
C
=
2∠
A
D
C
(b)
∠
A
B
C
+
∠
A
D
C
=
180
∘
\angle ABC + \angle ADC = 180^{\circ}
∠
A
B
C
+
∠
A
D
C
=
18
0
∘
(c)
∠
A
B
C
=
∠
A
D
C
\angle ABC = \angle ADC
∠
A
B
C
=
∠
A
D
C
(d)
∠
A
B
C
=
90
∘
\angle ABC = 90^{\circ}
∠
A
B
C
=
9
0
∘
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