The correct option is D x=90o and y=120o
By using exterior angle sum property,
we know that sum of all exterior angles of polygon is equal to 360o. So,
x+x−50o+x−40o+x+x=360o
5x−90o=360o
5x=360o+90o
5x=450o
x=450o5
x=90o
Now, y−30o and x makes linear pair, So
y−30o+x=180o
y−30o+90o=180o
y=180o−90o+30o
y=120o
Hence, value of x and y are 90o and 120o respectively.
So, option (d) correct.