1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Vertically Opposite Angles
In a parallel...
Question
In a parallelogram PQRS, if
∠
P is thrice
∠
Q, find the angles.
Open in App
Solution
Let
∠
Q
is
x
, then
∠
P
will be
3
x
.
We know that sum of adjacent sides of parallelogram is
180
o
.
∠
P
+
∠
Q
=
180
o
3
x
+
x
=
180
o
4
x
=
180
o
x
=
45
o
⇒
∠
Q
=
45
o
⇒
∠
P
=
3
×
45
o
=
135
o
We know that, opposite angles of a parallelogram are equal.
∴
∠
P
=
∠
R
=
135
o
∴
∠
Q
=
∠
S
=
45
o
Suggest Corrections
1
Similar questions
Q.
In the figure, PQRS is a parallelogram. If
∠
P
=
75
o
, then
∠
Q
=
Q.
In parallelogram
P
Q
R
S
,
∠
P
=
60
o
. Find the ratio
∠
R
:
∠
Q
.
Q.
In a parallelogram
P
Q
R
S
, the bisectors of
∠
P
and
∠
Q
meet at
O
. Find
∠
P
O
Q
.
Q.
In parallelogram PQRS, m∠Q = 130°. Find the measure of the other angles of □PQRS.