The acute angles of a particular isosceles trapezoid each measure 40 degrees. What is the measure, in degrees, of each obtuse angle in the trapezoid?
In an isosceles trapezoid, there are two pairs of congruent angles.  Let $x$ and $y$ be the distinct angle measures.  Since the angles of a quadrilateral sum to 360, we have $2x+2y=360$.  Setting $x=40$ we find $y=\boxed{140}$ degrees.