Answer:
The measure of angle B is [tex]67\°[/tex]
Step-by-step explanation:
we know that
Applying the law of sines
[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}[/tex]
we have
[tex]a=20\ units[/tex]
[tex]b=32\ units[/tex]
[tex]A=35\°[/tex]
substitute the given values and solve for B
[tex]\frac{20}{sin(35\°)}=\frac{32}{sin(B)}[/tex]
[tex]sin(B)=(32)sin(35\°)/20[/tex]
[tex]B=arcsin((32)sin(35\°)/20)[/tex]
[tex]B=67\°[/tex]
