Question

Rhombus LMNO is shown with its diagonals.

Answer 1

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 $1$

in this problem we have

m∠MLO=$112\°$

substitute the value in the equation $1$

$112\°$=2*m∠MLP

m∠MLP=$112\°/2$

m∠MLP=$56\°$

therefore

the answer is

the measure of angle MLP is $56\°$

Answer 2

112/2=56
LP bisects that angle
answer is 56 degrees