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?
I know that an isosceles trapezoid is a quadrilateral with two parallel bases and two congruent legs. I also know that the sum of the interior angles of any quadrilateral is 360 degrees. I can use the fact that the sum of the interior angles is 360 degrees to write an equation: A + A + B + B = 360. I can simplify this equation by using the fact that A = 40, so 40 + 40 + B + B = 360. I can combine like terms and subtract 80 from both sides, so 2B = 280. I can divide both sides by 2, so B = 140. This means that each obtuse angle in the trapezoid measures 140 degrees. 