In triangle $ABC$, side $a$ is $7$, side $b$ is $10$, and angle $A$ is $30°$. Angle $B$ is $45°$. Using the Law of Sines, find the length of side $c$. If necessary, write your answer in simplest radical form.

Given three segments with lengths $a$, $b$, and $c$, which of the following sets of values could form a triangle according to the Law of Sines and the triangle inequality?

Given that triangle $ABC$ is similar to triangle $DEF$, which of the following correctly expresses the Law of Sines for these triangles?

Which equation correctly represents the Law of Sines for a triangle with sides $a$, $b$, $c$ opposite angles $A$, $B$, and $C$?

Given that $m\angle 1=m\angle 4$, $m\angle 2=m\angle 3$, $m\angle 1+m\angle 4=180°$, and $m\angle 2+m\angle 3=180°$, which of the following best describes the relationship between the angles in two triangles that allows the Law of Sines to be applied?

In triangle $△\mathrm{klm}$, $l=210$ inches, $\angle k=116°$, and $\angle l=11°$. Find the length of $m$ to the nearest inch.

In triangle $△\mathrm{lmn}$, side $l$ is $170$ inches, angle $\angle m$ is $121°$, and angle $\angle n$ is $40°$. Find the length of side $n$ to the nearest inch.

In triangle $△\mathrm{klm}$, side $m$ has length $63$ inches, angle $\angle k$ is $24°$, and angle $\angle l$ is $42°$. Find the length of side $l$ to the nearest inch.