# Challenge Your Brain 1

**Geometry**Level 4

In trapezoid \({ABCD}\) with \(\overline{BC}\parallel\overline{AD}\), let \({BC}\) = \({1000}\) and \({AD}\) = \({2008}\). Let \(\angle{A}\) = \(37^{\circ}\), \(\angle {D}\) = \(53^{\circ}\), and \({M}\) and \({N}\) be the midpoints of \(\overline{BC}\) and \(\overline{AD}\), respectively. Find the length \({MN}\).