Answer:
m(∠R) = 5°
Step-by-step explanation:
By applying sine rule in the given triangle RST.
[tex]\frac{\text{sin}(\angle R)}{ST}= \frac{\text{sin}(\angle T)}{SR}[/tex]
[tex]\frac{\text{sin}(\angle R)}{r}= \frac{\text{sin}(\angle T)}{t}[/tex]
[tex]\frac{\text{sin}(\angle R)}{210}= \frac{\text{sin}(166)}{550}[/tex]
sin(∠R) = [tex]\frac{210\times \text{sin}(166)}{550}[/tex]
= 0.09237
m(∠R) = [tex]\text{sin}^{-1}(0.09237)[/tex]
= 5.3°
≈ 5°
