Which of the following criteria always proves triangles congruent when using the $\mathrm{Law} \mathrm{of} \mathrm{Sines}$?

Given two triangles $ABC$ and $DEF$ where $\angle A=\angle D$, $\angle B=\angle E$, and $\frac{AB}{DE}=\frac{BC}{EF}$, which triangles in the diagram are congruent?

Given triangle $△efg$, which equation could be used to find the measure of angle $e$ using the Law of Sines?

Which of the following lists of angle measures could be the angle measures of a triangle?

Which of the following correctly states the Law of Sines for triangle $ABC$ with sides $a$, $b$, $c$ opposite angles $A$, $B$, $C$?

Given two angle measures and the length of the included side in a triangle, how many distinct triangles can be formed?

Which of the following sets of angles can be used to construct a triangle?

Given that the major arc $JL$ of a circle measures $300°$, which of the following best describes triangle $JLM$ inscribed in the circle with points $J$, $L$, and $M$ on the circumference?

Given that $m\angle A+m\angle B=m\angle B+m\angle C$ in triangle $\mathrm{ABC}$, which of the following must be true?