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Standard VIII
Mathematics
Properties of Angles Formed by Two Parallel Lines and a Transversal
Question
In figure, if
P
Q
∥
S
T
,
∠
P
Q
R
=
110
o
and
∠
R
S
T
=
130
o
, find
∠
Q
R
S
.
∠
Q
R
S
=
750
o
∠
Q
R
S
=
60
o
∠
Q
R
S
=
45
o
∠
Q
R
S
=
30
o
A
∠
Q
R
S
=
750
o
B
∠
Q
R
S
=
60
o
C
∠
Q
R
S
=
45
o
D
∠
Q
R
S
=
30
o
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Solution
Verified by Toppr
Through R, we draw XRYPQ.
XRYST(PRST)
QRX+
110
o
=
180
o
and YRS+
130
o
=
180
o
QRX=
70
o
and YRS=
50
o
Now, QRX+QRS+YRS=
180
o
70
o
+QRS+
50
o
=
180
o
QRS=
60
o
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Similar Questions
Q1
In Figure, if
P
Q
∥
S
T
,
∠
P
Q
R
=
110
o
and
∠
R
S
T
=
130
o
, find
∠
Q
R
S
.
View Solution
Q2
In the adjacent figure PQ || ST,
∠
P
Q
R
=
110
o
and
∠
R
S
T
=
130
o
, find
∠
Q
R
S
.
View Solution
Q3
In a given figure PQ || ST,
∠
P
Q
R
=
110
o
,
∠
R
S
T
=
130
o
, then value of
∠
Q
R
S
is -
View Solution
Q4
In a given figure PQ||ST,
∠
PQR
=
110
o
,
∠
RST
=
130
o
then value of
∠
QRS is
View Solution
Q5
If PQ|| ST,
∠
P
Q
R
=
110
o
and
∠
R
S
T
=
130
o
, find
∠
Q
R
S
.
[Hint : Draw a line parallel to ST through point R.]
View Solution