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Byju's Answer
Standard VI
Mathematics
Angle
Two lines PR ...
Question
Two lines PR and QS intersect each other at O. If ∠POQ: ∠QOR = 2:3. Find POS.
A
108
o
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B
144
o
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C
216
o
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D
72
o
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Solution
The correct option is
A
108
o
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0
Similar questions
Q.
In the given figure, diagonals PR and QS of the parallelogram PQRS intersect at point O and LM is parallel to PS.
Show that :
Area (
Δ
POS) + Area (
Δ
QOR) = Area (
Δ
POQ) + Area (
Δ
SOR).
Q.
In quadrilateral PQRS diagonal PR and QS intersects at O such that
A
r
e
a
(
Δ
P
O
S
)
=
A
r
e
a
(
Δ
Q
O
R
)
.If the distance between side PQ and SR is 4 cm, PQ=3cm, SR=7 cm. Find ar (PQRS).
Q.
State true or false:
In the given figure, diagonals
P
R
and
Q
S
of the parallelogram
P
Q
R
S
intersect at point
O
and
L
M
is parallel to
P
S
, that
Area
(
Δ
P
O
S
)
+
Area
(
Δ
Q
O
R
)
=
Area
(
Δ
P
O
Q
)
+
Area
(
Δ
S
O
R
)
Q.
In trapezium
□
P
Q
R
S
, seg
P
Q
∥
seg
S
R
, diagonal
P
R
and diagonal
Q
S
intersects each other at point
O
.
If
P
O
=
x
+
4
;
Q
O
=
x
+
2
;
R
O
=
x
+
10
and
S
O
=
x
+
7
, then
P
Q
:
R
S
=
?
Q.
In the given figure,
P
Q
and
R
S
are two lines intersecting each other at point
′
O
′
. If
∠
P
O
S
=
90
∘
. Find the value of
x
,
y
and
z
.
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