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Byju's Answer
Standard VII
Mathematics
Alternate Interior and Exterior Angles
In the given ...
Question
In the given figure, if AB || CD || EF,
PQ || RS,
∠
R
Q
D
=
25
°
and
∠
C
Q
P
=
60
°
, then find
∠
Q
R
S
.
A
130°
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B
135°
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C
140°
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D
145°
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Solution
The correct option is
D
145°
Given AB || CD, RQ is the transversal.
∠
R
Q
D
=
∠
A
R
Q
=
25
°
(Alternate interior angles)
Given PQ||RS, RQ is the transversal.
Then,
∠
S
R
B
=
∠
P
Q
C
=
60
°
(Alternate exterior angles).
∠
A
R
S
+
∠
S
R
B
=
180
°
(Linear pair)
⇒
∠
A
R
S
+
60
°
=
180
°
⇒
∠
A
R
S
=
120
°
∠
Q
R
S
=
∠
A
R
S
+
∠
A
R
Q
⇒
∠
Q
R
S
=
120
°
+
25
°
=
145
°
Suggest Corrections
0
Similar questions
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.
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.
In the given figure, if AB || CD || EF, PQ || RS,
∠
R
Q
D
=
25
∘
and
∠
C
Q
P
=
60
∘
, then
∠
Q
R
S
is equal to
Q.
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 .............
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