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SSC CGL Tier-1 24-Aug-2021 Shift 2 Solved Paper
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© examsnet.com
Question : 67
Total: 100
Points
A
,
B
and
C
are on a circle with centre
O
such that
∠
B
O
C
=
84
∘
. If
A
C
is produced to a point
D
such that
∠
B
D
C
=
40
∘
, then find the measure of
∠
A
B
D
(in degrees).
98
92
56
102
Validate
Solution:
We know that,
∠
B
A
C
=
B
O
C
2
∠
B
A
C
=
84
2
=
42
∘
∠
A
B
D
+
∠
B
D
A
+
∠
D
A
B
=
180
∘
⇒
∠
A
B
D
+
40
∘
+
42
∘
=
180
∘
⇒
∠
A
B
D
=
180
∘
−
82
∘
∠
A
B
D
=
98
∘
© examsnet.com
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