if two co interior angles are x and y. complement of angle x is equal to supplement of angle y , then find x and y.

Since, x and y are 2 interior angles on the same side of 2 parallel lines 

Hence, x+y = 180 (1)

 

Also, complement of angle x is equal to supplement of angle y

i.e. 90-x = 180-y 

y-x = 90 (2)

 

Adding 1 and 2

2y = 270

y  = 135 degree

And hence x = 180-135 = 45 degree