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?

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 triangle according to the Law of Sines?

$$In the context of the Law of Sines $\mathrm{Law} \mathrm{of} \mathrm{Sines}$ and triangle geometry, if two lines (such as transversals or sides) are not parallel, which types of angles remain congruent?

Given that line zx bisects angle $\angle wzy$ in triangle wzy, and the measure of angle $\angle yxz$ is $6m-12$ degrees, which of the following could be the value of $m$ if angle $\angle yxz$ is an acute angle?

Given two triangles where in the first triangle, $A$ = $40°$, $B$ = $60°$, and side $a$ = $8$, and in the second triangle, $A$ = $40°$, $B$ = $60°$, and side $a$ = $8$, are the triangles congruent? If so, why?

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 $LP$?

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?