Question

find the value of x,y,z

Answer 1

x+x/2= 180
So x=120
Now x=z THEY ARE VERTICALLY OPPOSITE ANGLES
So z=120
So y=180-z=180-120=60

So x=z=120
x/2=y=60

Answer 2

x+x/2=180°(linear pair)
⇒2x+x=360°
⇒3x=360°
⇒x=120°

x+y=180°(linear pair)
⇒120°+y=180°
⇒y=60°

x=z(vertically opp angles)
∴z=120°

ans- x=120°,y=60°,z=120°