Question

Using the value found in the previous question, find the measure of angle R and the measure of angle Q.

Answer 1

∠R = 36.06°, ∠Q = 90.81°

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:

`36^2=48^2+60^2-2(48)(60)cosR` 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