Find the value of k. please help

Answer:
k=57
Step-by-step explanation:
-k+15=k-99(vertically opposite angles)
k=57
Opposite angles are equal
[tex]\\ \rm\longmapsto -k+15=k-99[/tex]
[tex]\\ \rm\longmapsto -k-k=-99-15[/tex]
[tex]\\ \rm\longmapsto -2k=-114[/tex]
[tex]\\ \rm\longmapsto 2k=114[/tex]
[tex]\\ \rm\longmapsto k=\dfrac{114}{2}[/tex]
[tex]\\ \rm\longmapsto k=57[/tex]