PLEASE HELP! TRIG! 7 points! I really need help

By the law of sines,
[tex]\dfrac{\sin\theta}{2\pi}=\dfrac{\sin110^\circ}{5\pi}\implies\sin\theta=\dfrac{2\sin110^\circ}5[/tex]
[tex]\implies\theta=\sin^{-1}\dfrac{2\sin110^\circ}5\approx22.08^\circ[/tex]