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UPSC CDS Math Triangles Questions
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© examsnet.com
Question : 35
Total: 68
In the figure given below, ∠A = 80° and ∠ABC =; 60°. BD and CD bisect angles B and C respectively. What are the values of x and y respectively ?
[2017 CDS-I]
10 and 130
10 and 125
20 and 130
20 and 125
Validate
Solution:
In ΔABC,
∠
A
C
B
=
180
∘
−
∠
A
−
∠
B
=
180
∘
−
80
∘
−
60
∘
=
40
∘
CD bisects ∠C.
∴
x
=
∠
A
C
B
2
=
40
∘
2
=
20
∘
BD bisects ∠B
∴
∠
D
B
C
=
∠
B
2
=
60
∘
2
=
30
∘
In ΔBCD,
y
=
180
°
−
∠
D
B
C
−
x
=
180
°
−
30
°
−
20
°
=
130
°
© examsnet.com
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