Answer:
[tex] R = 28.07^\circ [/tex]
Step-by-step explanation:
Since you have the lengths of all the sides, you can use sine, cosine, or tangent to find the answer. Let's use the tangent ratio.
For angle R, PQ is the opposite leg, and QR is the adjacent leg.
[tex] \tan R = \dfrac{opp}{adj} [/tex]
[tex] \tan R = \dfrac{8}{15} [/tex]
[tex] R = \tan^{-1} \dfrac{8}{15} [/tex]
[tex] R = 28.07^\circ [/tex]
