The sum of the interior angles of a triangle (half the rhombus in this case) is 180. Because of the properties of a rhombus, z and x will be equal to each other. Therefore, [tex]124 + z + z = 180[/tex].
[tex]124 + z + z = 180[/tex]
[tex]124 + 2z = 180[/tex]
[tex]2z = 56[/tex]
[tex]z = 28[/tex]
Thus, z is equal to 28.
