Opposite Angles in Inscribed Quadrilaterals

An inscribed quadrilateral is a 4-sided shape with all its vertices on the edge of a circle. Move the sliders to re-arrange the angles of the quadrilateral.

Move the sliders around to adjust angles D and E. Now, add together angles D and E. What do you get? Re-adjust the sliders. Does this relationship between D and E stay the same?