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Standard VIII
Mathematics
Properties of Angles Formed by Two Parallel Lines and a Transversal
Question
In figure, if
A
B
∥
C
D
∥
E
F
,
P
Q
∥
R
S
,
∠
R
Q
D
=
25
o
and
∠
C
Q
P
=
60
o
, then
∠
Q
R
S
is equal to
85
o
135
o
145
o
110
o
A
110
o
B
85
o
C
145
o
D
135
o
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Solution
Verified by Toppr
Given, RQD=
25
o
and
CQP=
60
o
R
Q
D
=
Q
R
A
=
25
0
(Alternate interior angles)
C
Q
P
=
B
R
S
=
60
0
(Alternate Exterior angles)
B
R
S
+
A
R
S
=
180
0
(Linear Pair)
=
>
A
R
S
=
180
0
−
B
R
S
=
180
0
−
60
0
=
120
0
Q
R
S
=
A
R
S
+
Q
R
A
=
120
0
+
25
0
=
145
0
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Similar Questions
Q1
In figure, if
A
B
∥
C
D
∥
E
F
,
P
Q
∥
R
S
,
∠
R
Q
D
=
25
o
and
∠
C
Q
P
=
60
o
, then
∠
Q
R
S
is equal to
View Solution
Q2
In given figure, if AB || CD || EF, PQ || RS,
∠
R
Q
D
=
25
o
and
∠
C
Q
P
=
60
o
, then
∠
Q
R
S
is equal to .............
View Solution
Q3
In the adjoining figure ,
A
B
∥
C
D
∥
E
F
,
P
Q
∥
R
S
,
∠
R
Q
D
=
25
0
and
∠
C
Q
P
=
60
0
, find the
∠
Q
R
S
.
View Solution
Q4
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
∘
View Solution
Q5
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 Solution