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CTET 2 Math and Science Jan 2021 Paper
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© examsnet.com
Question : 56
Total: 150
In
Δ
A
B
C
, the side
A
B
is produced to
E
and side
C
A
is produced to
D
. If
∠
B
A
D
=
125
°
and
∠
E
B
C
=
100
°
, then which of the following is true?
Difference between
∠
A
B
C
and
∠
A
C
B
is
35
°
Difference between
∠
B
A
C
and
∠
A
C
B
is
20
°
Δ
A
B
C
is an isosceles triangle.
A
B
>
B
C
Validate
Solution:
In the above figure,
∠
B
A
C
=
180
°
−
125
°
=
55
°
∠
A
B
C
=
180
°
−
100
°
=
80
°
In
Δ
A
B
C
, by angle sum property of 4.
∠
A
B
C
+
∠
B
A
C
+
∠
B
C
A
=
180
°
80
°
+
55
°
+
∠
B
C
A
=
180
°
∠
B
C
A
=
180
°
−
80
°
−
55
°
∠
B
C
A
=
45
°
We know that,
∴
∠
A
B
C
−
∠
A
C
B
=
80
°
−
45
°
=
35
°
Hence, option (a) is correct.
© examsnet.com
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