Answer:
Granted that uppercase letters are the angles measurements and lowercase letters are the side lengths. I also was unable to round as I don't know to what decimal you need to round to.
First to find the measure of angle B, we must subtract A and C from 180
[tex]180-21-105=54[/tex]
B=54
Next, we can use the law of sines in order to find the measures of a and b
As a reminder, The law of sines is
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
First, lets solve for b
[tex]\frac{b}{sin54}=\frac{5}{sin105} \\\\b=\frac{(5)sin54}{sin105}\\\\b=4.187780119[/tex]
Next lets solve for a
[tex]\frac{a}{sin21}=\frac{5}{sin105} \\\\a=\frac{(5)sin21}{sin105}\\\\a=1.85504901[/tex]
