a concave quadrilateral

Study the relation among the angles in this figure. [br]You may try adding additional lines and angles to explain the relation.
The following silent video shows the construction of this figure.[br][list][*]Angles are created and modified with the style bar (top right). [/*][*]Open the algebra view on the left. Check the relation among the angles.[/*][*]Use the virtual keyboard to enter expressions.[/*][/list]

Information: a concave quadrilateral