In triangles $LMN$ and $RST$, angles $L$ and $R$ each have measure $60^{*}$, $LN=10$, and $RT=30$. Which additional piece of information is sufficient to prove that triangle $LMN$ is similar to triangle $RST$?
MM
Mashaal Masha
Mar 01, 2024
In triangles $LMN$ and $RST$, angles $L$ and $R$ each have measure $60^{\circ}$, $LN=10$, and $RT=30$. Which additional piece of information is sufficient to prove that triangle $LMN$ is similar to triangle $RST$?
Difficulty: Hard
A:
$MN=7$ and $ST=7$
B:
$MN=7$ and $ST=21$
C:
The measures of angles $M$ and $S$ are $70^{\circ}$ and $60^{\circ}$, respectively.
D:
The measures of angles $M$ and $T$ are $70^{\circ}$ and $50^{\circ}$, respectively.