To solve this problem you must apply the proccedure shown below:
1. You can use the Law of Sines to calculate the missing angle. You have that:
[tex] \frac{a}{SinA}=\frac{b}{SinB} [/tex]
Where:
[tex] a=22\\ b=12\\ A=75degrees\\ B=x [/tex]
2. Substitute values and solve for [tex] x [/tex], as following:
[tex] \frac{22}{Sin(75)}= \frac{12}{Sin(x)} [/tex]
[tex] Sin(x)=\frac{(12)(Sin(75))}{22} \\ x=arcsin\frac{(12)(Sin(75))}{22}\\ x=31.8degreees [/tex]
Therefore, the answer is: [tex] x=31.8degrees [/tex]
