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UPSC CDS Math Lines and Angles Questions
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© examsnet.com
Question : 14
Total: 16
Let OA, OB, OC and OD are rays in the anticlockwise direction such that ∠AOB=∠COD=100°,∠BOC=82° and ∠AOD=78° Consider the following statements :
1. AOC and BOD are lines.
2. ∠BOC and ∠AOD are supplementary.
Which of the above statements is /are correct?
[2015 CDS-I]
1 only
2 only
Both 1 and 2
Neither 1 nor 2
Validate
Solution:
∠
A
O
C
=
∠
A
O
B
+
∠
B
O
C
=
100
°
+
82
°
=
182
°
≠
180
°
∴ AOC is not a line
∠
B
O
D
=
∠
A
O
B
+
∠
A
O
D
=
100
∘
+
78
∘
=
178
∘
≠
180
∘
∴ BOD is not a line
Hence, statement (1) is incorrect.
∠
B
O
C
+
∠
A
O
D
=
82
°
+
78
°
=
160
°
≠
180
°
∴ ∠BOC and ∠AOD are not supplementary.
Hence, statement (2) is incorrect.
© examsnet.com
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