Question

in the parallelogram PQRS find x, y, z and s ​

Answer 1

Answer:

x=100°

y=100°

z=80°

s=80°

Step-by-step explanation:

x=100°[ opposite angle of a parallelogram are equal]

y=100°[alternative angles]

z=180°-100°[ sum of angle on a straight line is always 180°]

z=80°

s=80°[ opposite angle of a parallelogram are equal]

Answer 2

Answer:

PQRS is a parallelogram

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

∴  ∠QPS+∠PSR=180 degree

⇒  x+110 degree  =180

⇒  x=70 degree

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

∴  x=y=70  degree  and z=110 degree

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

 ⇒  110   +w=180  

⇒  w=70  degree

We get, x=70  degree  ,y=70 degree,z=110 degree and w=70  degree

 

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