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Byju's Answer
Standard X
Mathematics
Tangents through a Point
Question 48 P...
Question
Question 48
PQRS is a trapezium in which
P
Q
∥
S
R
and
∠
P
=
130
∘
,
∠
Q
=
110
∘
. Then,
∠
R
is equal to
a)
70
∘
b)
50
∘
c)
65
∘
d)
55
∘
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Solution
Since, PQRS is a trapezium and
P
Q
∥
S
R
.
∴
∠
Q
+
∠
R
=
180
∘
[
∵
angles between the pair of parallel sides are supplementary]
⇒
∠
R
=
180
∘
−
110
∘
=
70
∘
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3
Similar questions
Q.
Question 48
PQRS is a trapezium in which
P
Q
∥
S
R
and
∠
P
=
130
∘
,
∠
Q
=
110
∘
. Then,
∠
R
is equal to
a)
70
∘
b)
50
∘
c)
65
∘
d)
55
∘
Q.
Question 7
In the figure,
O
P
|
|
R
S
,
∠
O
P
Q
=
110
∘
a
n
d
∠
Q
R
S
=
130
∘
,
t
h
e
n
∠
P
Q
R
is equal to:
A)
40
∘
B)
50
∘
C)
60
∘
D)
70
∘
Q.
Question 7
In the figure,
O
P
|
|
R
S
,
∠
O
P
Q
=
110
∘
a
n
d
∠
Q
R
S
=
130
∘
,
t
h
e
n
∠
P
Q
R
is equal to:
A)
40
∘
B)
50
∘
C)
60
∘
D)
70
∘
Q.
In the figure given below, if OP || RS, ∠OPQ = 110
o
and ∠QRS = 130
o
, then ∠
PQR is equal to
Q.
In the given figure, ∠OAB = 110° and ∠BCD = 130° then ∠ABC is equal to
(a) 40°
(b) 50°
(c) 60°
(d) 70°