Given the Law of Sines, could $a$ and $b$ be the side lengths of a triangle if $a=3$ and $b=7$ and the angle opposite $a$ is $80°$ and the angle opposite $b$ is $40°$?

Given triangle $ABC$ with sides $a$, $b$, $c$ opposite angles $A$, $B$, $C$ respectively, which of the following correctly expresses the Law of Sines?

In triangle $△abc$, which angle's measure is equal to the sum of the measures of $\angle bac$ and $\angle bca$?

Given triangle $FGE$ with sides $f$, $g$, and $e$ opposite angles $F$, $G$, and $E$ respectively, which equation can be used to find the measure of angle $FGE$ using the Law of Sines?

Which of the following sets of numbers could represent the three sides of a triangle according to the Law of Sines ($\frac{a}{A}=\frac{b}{B}=\frac{c}{C}$)?

Which of the following statements is true for triangle $LNM$ according to the Law of Sines?

Which of the following statements correctly describes the requirement for two triangles to be proven similar by the $SAS$ (Side-Angle-Side) similarity theorem?

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?