The obtuse angle in the MNPK password is 112 degrees. Find the value of the angle NDM

The obtuse angle in the MNPK password is 112 degrees. Find the value of the angle NDM (in degrees), which forms the line containing the bisector ND with side MK.

Opposite angles of a parallelogram are equal (angle M = angle P, angle N = angle K). The sum of the angles of a quadrilateral is 360 degrees. angle M = (360 degrees -112 degrees – 112 degrees) / 2 = 68 degrees
In the triangle NMD, the angle MND = 112 degrees / 2 = 56 degrees, because ND is the bisector and bisects the angle.
NDM angle = 180 degrees – 68 degrees – 56 degrees = 56 degrees, because the sum of all the angles of a triangle is 180 degrees
Answer: NDM = 56 degrees