Answer:
35.28°
Step-by-step explanation:
Sine rule:
[tex]\boxed{\frac{sin\angle A}{a} =\frac{sin\angle B}{b}=\frac{sin\angle C}{c} }[/tex]
Given:
∠A = 68°
a = 6.1
b = 3.8
∠B = x
Therefore:
[tex]\displaystyle \frac{sin68^o}{6.1} =\frac{sin(x)}{3.8}[/tex]
[tex]\displaystyle sin(x)=\frac{3.8\times sin68^o}{6.1}[/tex]
[tex]sin(x)=0.556[/tex]
[tex]x=35.28^o[/tex]
