We know that the interior angles of a kite sum 360°.
[tex]x+y+151+73=360[/tex]We also know that y = 73 because those angles are congruent.
[tex]\begin{gathered} x+73+151+73=360 \\ x=360-297 \\ x=63 \end{gathered}[/tex]Additionally, the opposite sides are always congruent so k = 14.