According to the $\mathrm{Law} \mathrm{of} \mathrm{Sines}$, the measure of an exterior angle of a triangle is equal to which of the following measures?

Given triangle ABC with angles $A$, $B$, and $C$, and corresponding opposite sides $a$, $b$, and $c$, which of the following sets of side lengths could represent a possible triangle according to the Law of Sines?

Which of the following must be true for two triangles to be congruent by the $SSS$ (Side-Side-Side) criterion?

In triangle $\mathrm{ABC}$, if angle $A$ measures $100°$ and angle $B$ measures $20°$, what is the measure of arc $\mathrm{BC}$ (the angle at vertex $C$)?

In triangle $LNP$, the length of side $LN$ is $28$ centimeters. If angle $P$ is $30°$ and angle $N$ is $60°$, what is the length of side $LP$?

Given a triangle with sides $a$, $b$, $c$ opposite angles $A$, $B$, $C$ respectively, which equation can be used to find $b$ using the Law of Sines?

In parallelogram LMNO, if angle M measures $30°$ and angle N measures $40°$, what is the measure of angle L?

A straight ladder of length $L$ leans against a vertical wall, forming an angle $\theta$ with the ground. According to the Law of Sines, what is the proper distance from the feet of the ladder to the wall?

Given two similar triangles, $ABC$ and $DEF$, where $AB=6$, $AC=8$, $DE=9$, and $DF=x$, what is the value of $x$?