Given that ray $BE$ bisects $\angle ABC$, and $\angle ABE=2x+7°$ and $\angle CBE=5x-8°$, what is the measure of $\angle ABC$?

Given two triangles, $△STU$ and $△XYZ$, if $△STU$ is congruent to $△XYZ$, which of the following statements about their corresponding sides and angles is true according to the Law of Sines?

Given two triangles with sides of lengths $6$, $8$, $x$ and $9$, $12$, $15$, what value of $x$ will make the triangles similar by the SSS similarity theorem? $x=$

In triangle $FGH$, points $J$ and $K$ are the midpoints of sides $FG$ and $GH$, respectively. If $FH$ has length $10$ and the segment $JK$ is parallel to $FH$, what is the length of $y$, where $y$ is the length of $JK$?

Given a circle with radius $r$ = $6$ and an intercepted arc length of $4\pi$, what is the measure of the central angle in radians?

Given two parallel lines cut by a transversal, if one of the alternate interior angles measures $m_1=61.8°$, what is the measure of the corresponding alternate interior angle?

Given triangle $△\mathrm{jkl}$, which equation could be used to find $\angle j$ using the Law of Sines?

Given triangle $ABC$ where $A$ and $B$ are on straight lines $l$ and $m$ respectively, and the measure of angle $A$ is $43°$ and angle $B$ is $47°$, what is the measure of angle $y$ (angle $C$) in degrees?

Which of the following combinations of measurements could form a triangle according to the $Law of Sines$?