1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Parallel
In the figure...
Question
In the figure above, If
A
B
∥
C
D
, then
∠
F
X
E
is equal to
A
30
∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
50
∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
70
∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
80
∘
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
80
∘
∠
F
E
X
=
180
∘
−
(
100
∘
+
30
∘
)
[
L
i
n
e
a
r
p
a
i
r
]
∠
F
E
X
=
180
∘
=
180
∘
−
140
∘
=
40
∘
Note
→
∠
F
E
D
=
∠
F
E
X
+
∠
X
E
D
∠
A
F
E
=
∠
F
E
D
[Corresponding]
∠
A
F
E
=
∠
F
E
X
+
∠
X
E
D
=
40
∘
+
30
∘
=
70
∘
[From Note]
∠
E
F
X
=
180
∘
−
(
∠
A
F
E
+
∠
X
F
B
)
[Linear pair]
=
180
∘
−
(
70
∘
+
50
∘
)
=
180
∘
−
120
∘
=
60
∘
∴
∠
F
X
E
=
180
∘
−
(
∠
E
F
X
+
∠
X
E
F
)
[Angle sum property of a
∧
]
=
180
∘
−
(
60
∘
+
40
∘
)
=
180
∘
−
100
∘
=
80
∘
Suggest Corrections
0
Similar questions
Q.
In the give figure, AB and CD are two intersecting chords of a circle. If
∠CAB = 40° and
∠
BCD = 80
°, then ∠CBD = ?
(a) 80°
(
b
) 60°
(
c
) 50°
(d) 70°
Figure
Q.
In the given figure, chords AB and CD are equal. if
∠
O
C
D
=
60
°
and
∠
A
O
B
=
70
°
, then
∠
O
D
C
=
.
Q.
In the figure given above,
A
B
is parallel to
C
D
. If
∠
D
C
E
=
x
and
∠
A
B
E
=
y
, then what is
∠
C
E
B
equal to?
Q.
Question 7
In the figure, if
∠
D
A
B
=
60
∘
,
∠
A
B
D
=
50
∘
then
∠
A
B
C
is equal to
(A)
60
∘
(B)
50
∘
(C)
70
∘
(D)
80
∘
Q.
In the given figure, AB and CD are two equal chords of the circle with centre O. OP and OQ are perpendiculars of the chord AB and CD respectively. If
∠
P
O
Q
=
80
∘
,
then what is the value of
∠
A
P
Q
?
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Tango With Straight Lines !!
MATHEMATICS
Watch in App
Explore more
Condition for Two Lines to Be Parallel
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app