ANSWER
[tex]x = 50.5 \degree[/tex]
EXPLANATION
We use the sine rule for solving triangles.
This is given by the formula,
[tex] \frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c} [/tex]
From the triangle,
[tex] \frac{ \sin(x) }{60} = \frac{ \sin(40) }{50} [/tex]
We multiply both sides of the equation by 60 to get,
[tex] sin(x) = \frac{ 60\sin(40 \degree) }{50} [/tex]
[tex] sin(x) = 0.7713[/tex]
We solve for x to obtain,
[tex] x = arcsin(0.7713)[/tex]
[tex] x = 50.475[/tex]
To the nearest tenth, we round to one decimal place to get,
[tex] x = 50.5 \degree[/tex]
