Question

In parallelogram PQRS,∠P= x-y & ∠Z= x+y, then x=____​

Answer 1

Answer:

Step-by-step explanation:

PQRS is a parallelogram

We know that, sum of adjacent angles of parallelogram is 180

o

.

∴  ∠QPS+∠PSR=180

o

⇒  x+110

o

=180

o

⇒  x=70

o

We know that, opposite angles of a parallelogram are equal.

∴  x=y=70

o

 and z=110

o

⇒  ∠PSR+∠PST=180

o

             [ Linear pair ]

⇒  110

o

+w=180

o

⇒  w=70

o

We get, x=70

o

,y=70

o

,z=110

o

 and w=70

o

PQRS is a parallelogram

We know that, sum of adjacent angles of parallelogram is 180

o

.

∴  ∠QPS+∠PSR=180

o

⇒  x+110

o

=180

o

⇒  x=70

o

We know that, opposite angles of a parallelogram are equal.

∴  x=y=70

o

 and z=110

o

⇒  ∠PSR+∠PST=180

o

             [ Linear pair ]

⇒  110

o

+w=180

o

⇒  w=70

o

We get, x=70

o

,y=70

o

,z=110

o

 and w=70

o