Question

and 7b + 4 - za
Find x of the parallelogram PQRS given below.
S
R
3(2-10
2x-5​

Answer 1

Answer:

PQRS is a parallelogram

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

∴  ∠QPS+∠PSR=180o

⇒  x+110o=180o

⇒  x=70o

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

∴  x=y=70o and z=110o

⇒  ∠PSR+∠PST=180o             [ Linear pair ]

⇒  110o+w=180o

⇒  w=70o

We get, x=70o,y=70o,z=110o and w=70o