Which pair of triangles can be proven congruent by the $SAS$ (Side-Angle-Side) Congruence Theorem?

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?

To prove that two triangles are similar by the SAS similarity theorem, it needs to be shown that two pairs of corresponding sides are in proportion and the included angles are equal. Which of the following statements correctly expresses this condition?

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

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?