If ∠r is given and the values of r and q are given, then explain whether the law of sines or the law of cosines should be used to solve for ∠q.
law of sines, two sides and an opposite angle are known
law of sines, two angles and the included side are known
law of cosines, all sides are known
law of cosines, two sides and the included angle are known

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral