we know that
In a Rhombus the two diagonals bisect each other at right angle
so
m∠MLO=m∠MLP+m∠OLP
m∠MLP=m∠OLP
m∠MLO=2*m∠MLP --------> equation [tex]1[/tex]
in this problem we have
m∠MLO=[tex]112\°[/tex]
substitute the value in the equation [tex]1[/tex]
[tex]112\°[/tex]=2*m∠MLP
m∠MLP=[tex]112\°/2[/tex]
m∠MLP=[tex]56\°[/tex]
therefore
the answer is
the measure of angle MLP is [tex]56\°[/tex]
