As you know angle sum of a quadrilateral = 360°
Hence, angles are: 36°, 60°, 108°, 156°
As all are right angles so the parallelogram is a rectangle
They want you to prove that AC = BD I suppose
AC = AB + BD + DC and therefore AC - BD = AB + DC = AB - CD = 0. done
Definition: A quadrilateral ABCD is a parallelogram if AB || CD and AD || BC. || means parallel.
That is the definiton. There is a proposition saying that if AB = CD
and AD = BC, then we can prove that ABCD is a parallelogram. We just
have to show that they are parallel.