[tex]28 \textdegree = \frac{1}{2} ( 114 \textdegree - \angle x)[/tex]
[tex]28 \textdegree = 57 \textdegree - \frac{1}{2} \angle x[/tex]
[tex] \frac{1}{2} \angle x = 57 \textdegree - 28 \textdegree [/tex]
[tex] \frac{1}{2} \angle x = 29 \textdegree [/tex]
[tex] \angle x = 29 \textdegree \times 2[/tex]
[tex]\angle x = 58 \textdegree[/tex]