Similar Triangles

In the figure above, $\triangle ABC \sim \triangle DEF$. $\overline{AB}=30$, $\overline{BC}=25$, $\overline{AC}=27$, $\overline{DE}=20$, $\measuredangle{A}=65$, and $\measuredangle{F}=70$.

1. What is $\measuredangle C$?
2. What is $\measuredangle D$?
3. What is $\measuredangle E$?
4. What is $\measuredangle B$?
5. What is the length of $\overline{EF}$?
6. What is the length of $\overline{DF}$?

In the figure above, $\overline{DE} \parallel \overline{AC}$. $\overline{AB}=10$, $\overline{BC}=12$, $\overline{AC}=8$, $\overline{DE}=6$, $\measuredangle{A}=90$, and $\measuredangle{C}=40$.

7. What is $\measuredangle BED$?
8. What is $\measuredangle BDE$?
9. What is $\measuredangle B$?
10. What is the length of $\overline{BE}$?
11. What is the length of $\overline{BD}$?

In the figure above, $\overline{DE} \parallel \overline{AB}$. $\overline{AB}=42$, $\overline{BC}=30$, $\overline{AC}=27$, $\overline{DE}=36$, $\measuredangle{A}=50$, and $\measuredangle{E}=70$.

12. What is $\measuredangle C$?
13. What is $\measuredangle EDC$?
14. What is $\measuredangle B$?
15. What is the perimeter of $\triangle DEC$?