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Math·Geometry and Trigonometry·Lines, angles, and triangles

hard

Triangles $ABC$ and $DEF$ are similar, where $A$ corresponds to $D$ and $B$ corresponds to $E$. The measure of angle $F$ is $65^{\circ }$ and $AB=\frac{1}{5}DE$. Which of the following must be true?

I. The measure of angle $C$ is $13^{\circ }$.
II. $5BC=EF$.

A

I only

B

II only

C

I and II

D

Neither I nor II