Question

Find all the angles of a parallelogram PQRS in
fourth angle.
which ZP = 2ZQ.
Active Maths-
U​

Answer 1

Answer:

I hope it was help full

Step-by-step explanation:

Here PQRS is a parallelogram.

∠P=60

o

.

⇒ ∠P=∠R [ Opposite angles of parallelogram are equal ]

∴ ∠R=60

o

. ----- ( 1 )

We know that, in parallelogram sum of adjacent angles are supplementary.

∴ ∠P+∠Q=180

o

.

⇒ 60

o

+∠Q=180

o

.

∴ ∠Q=120

o

. ---- ( 2 )

From ( 1 ) and ( 2 ),

⇒

∠Q

∠R

=

120

o

60

o

=

2

1

∴ ∠R:∠Q=1:2