Question

Rhombus LMNO is shown with its diagonals.

Angle MLO measures 112°. What is the measure of angle MLP?


_________°

Answer 1

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

Answer 2

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\°`