ABCD is a quadrilateral in which angle A 40 degrees and angle B 150 degrees. Could ABCD be a parallelogram?

for a+ NEVER

In a parallelogram opposite angles are equal. Thus angle c = angle a = 40o.

The sum of all the angles in a quadrilateral is 360o, so:

angle a + angle b + angle c + angle d = 360o

=> 40o + angle b + 40o + angle d = 360o

=> angle b + angle d = 280o.