Answer:
∠R = 36.06°, ∠Q = 90.81°
Step-by-step explanation:
I used the Law of Cosines to find angle R first. If you use the Law of Sines, the main angle is the same, but it differs in the decimal value. Since you started the process with the Law of Cosines, I used it again. Setting up to find angle R:
[tex]36^2=48^2+60^2-2(48)(60)cosR[/tex] and
1296 = 2304 + 3600 - 5760cosR so
-4608 = -5700cosR and
.8084210526 = cosR
Taking the inverse cosine to find the angle,
R = 36.06
That means that Q = 180 - 36.06 - 53.13 so
Q = 90.81
