If ∠P, ∠Q, and ∠R are given, as well as the value of p, then explain whether the Law of Sines or the Law of Cosines should be used to solve for q.

Law of sines can be used to find the value of q.

Step-by-step explanation:

∠P, ∠Q and ∠R is given.

p is also given, we need to find the value of q.

To use law of cosines, we must have at least 2 values, that is p and r but here we have only p value, so we can use the law of sines which was given as,

sin P/p = sin Q/ q = sin R / r

So using the first 2 ratios, we can find q as,

sin P/p = sin Q/ q

Rewriting the equation for q as,

q = p × sin Q / sin P

we will get the value of q.

step-by-step explanation: