Help please she wants me to show my work

Answer:
Explanation:
Let us call the missing angle x, then sine of x gives
[tex]\sin x=\frac{51}{55}[/tex]taking the inverse sine of both sides gives
[tex]x=\sin ^{-1}(\frac{51}{55})[/tex]Using the calculator we evaluate the above to get
[tex]x=68.01[/tex]which rounded to the nearest integer is
[tex]x=68^o[/tex]which is our answer!