Question

In the given figure ,if AB is parallel to CD ,find the measures of x and y by solving it properly
SOLVE IT

Answer 1

Here.
AB||CD

So 55° and y are interior opposite angles...
→55°+y=180°
→y=(180-55)°
→y=125°


Now...
55°+x+ (180°-120°)= 180° since AB is a Straight line and these angles are linear pairs...

55°+x+180°-120°=180°
→x-65°=180°-180°
→x=65°


So x=65° and y=125° is your answer....
Hope it helps...
Regards,
Leukonov.

Answer 2

Given,
ABllCD
then,
Let the point on line AB be 'E'
angle ECD=55(alternating angles)
Angle y= 180-55=125
and
Angle ECD+x=120(exterior angle)
=> x= 120-55=65