Answer:
[tex]C. 35\degree[/tex]
Step-by-step explanation:
We can use the sine rule to find the value of J.
We use the sine rule to obtain;
[tex]\frac{\sin(J)}{10}=\frac{\sin(102\degree)}{17}[/tex]
We multiply both sides by 10 to get;
[tex]\sin(J)=\frac{\sin(102\degree)}{17}\times10[/tex]
[tex]\sin(J)=0.57538[/tex]
Take the sine inverse of both sides to obtain;
[tex]J=\sin^{-1}(0.57538)[/tex]
[tex]J=35.13[/tex]
The measure of angle J is approximately [tex]35\degree[/tex]
