I don't know how to approach this question and how I could use my knowledge on angles and parallel lines to answer this question.
I thought that $A$ could be $80^{\circ}$ as $110°-30°=80°$ but I don't know how to work out the other angles.
The figure shows two crossed lines intersecting a parallelogram as shown in the figure. Compute the labelled missing angles $( B^{\circ},C^{\circ},D^{\circ}). $
Thank you, and your help is appreciated.

Apart from angle $A°=80°$, the other angles don't have a fixed value: any point $P$ lying on an arc as in diagram below would lead to a parallelogram compatible with the given data but with different values of angles $B°$, $C°$ and $D°$.