Could you also explain it please? I don't really understand how to work these problems and its due today

Answer:
D is true
Step-by-step explanation:
You have to put in order the equal angles in every triangle
so
<Y=<Y=<BHD=90-<B
<YHB=<YDH=<HDB=90
<B=<YHD=<B=90-<Y