1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Alternate Angles Test
In the given ...
Question
In the given figure, if AB || CD || EF, PQ || RS,
∠
R
Q
D
=
25
∘
and
∠
C
Q
P
=
60
∘
, then
∠
A
R
S
is equal to
A
85
∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
135
∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
120
∘
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
110
∘
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
120
∘
We have PQ || RS. Produce PQ to M.
∠
C
Q
P
=
∠
M
Q
D
[Vertically opp.
∠
S
]
∴
60
∘
=
∠
1
+
25
∘
⇒
∠
1
=
35
∘
We have PQ || RS. Produce PQ to M.
∠
C
Q
P
=
∠
M
Q
D
[Vertically opp. angles]
∴
60
∘
=
∠
1
+
25
∘
⇒
∠
1
=
35
∘
∠
A
M
Q
=
∠
1
+
∠
R
Q
D
=
60
∘
[alternate angles]
∠
R
M
Q
+
∠
A
M
Q
=
180
∘
⇒
∠
R
M
Q
=
180
−
60
=
120
∘
Since PQ || RS,
∠
R
M
Q
=
∠
A
R
S
=
120
∘
[alternate angles]
Suggest Corrections
1
Similar questions
Q.
In the given figure, if AB || CD || EF, PQ || RS,
∠
R
Q
D
=
25
∘
and
∠
C
Q
P
=
60
∘
, then
∠
A
R
S
is equal to
Q.
In the given figure, if AB || CD || EF,
PQ || RS,
∠
R
Q
D
=
25
°
and
∠
C
Q
P
=
60
°
, then find
∠
Q
R
S
.
Q.
Question 1
In figure, if
A
B
|
|
C
D
|
|
E
F
,
P
Q
|
|
R
S
,
∠
R
Q
D
=
25
∘
a
n
d
∠
C
Q
P
=
60
∘
,
t
h
e
n
∠
Q
R
S
is equal to:
A)
85
∘
B)
135
∘
C)
145
∘
D)
110
∘
Q.
Question 1
In figure, if
A
B
|
|
C
D
|
|
E
F
,
P
Q
|
|
R
S
,
∠
R
Q
D
=
25
∘
a
n
d
∠
C
Q
P
=
60
∘
,
t
h
e
n
∠
Q
R
S
is equal to:
A)
85
∘
B)
135
∘
C)
145
∘
D)
110
∘
Q.
In the given figure, if AB || CD || EF, PQ || RS,
∠
R
Q
D
=
25
∘
and
∠
C
Q
P
=
60
∘
, then
∠
A
R
S
is equal to
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
Alternate Angles Test
MATHEMATICS
Watch in App
Explore more
Alternate Angles Test
Standard IX 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
AI Tutor
Textbooks
Question Papers
Install app