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Answer:

∠ R ≈ 36.9

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosR = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RT}{RS}[/tex] = [tex]\frac{8}{10}[/tex] , then

∠ R = [tex]cos^{-1}[/tex] ([tex]\frac{8}{10}[/tex] ) ≈ 36.9 (to 1 dec. place )