The value of the angle LMN is [tex]68^{0}[/tex]
What is rhombus?
A rhombus is a special case of a parallelogram. In a rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or rhombus diamond.
It is given that a rhombus LMNO with one angle MNO measures [tex]112^{0}[/tex].
We need to determine the value of the angle LMN.
Now, we know that the sum of the corresponding angles in the rhombus is always equals to [tex]180^{0}[/tex].
Therefore, angle MNO and angle LMN are the corresponding angles of the rhombus LMNO.
Thus,
Angle MNO + Angle LMN = [tex]180^{0}[/tex]
[tex]112^{0}+Angle LMN = 180^{0}[/tex]
Angle LMN = [tex]180^{0} -112^{0}[/tex]
Angle LMN = [tex]68^{0}[/tex]
Hence, the value of the angle LMN is [tex]68^{0}[/tex].
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