Question

4 multiple choice 5 points
rhombus lmno is shown with its diagonals.
angle mno measures $112^\circ$. what is the measure of angle lmn?
$34^\circ$
$45^\circ$
$56^\circ$
$68^\circ$

Explanation:

Step1: Recall rhombus adjacent angle property

Adjacent angles in a rhombus are supplementary (sum to $180^\circ$).

Step2: Calculate $\angle LMN$

Let $\angle LMN = x$. Use the supplementary angle rule:
$$x + 112^\circ = 180^\circ$$
$$x = 180^\circ - 112^\circ$$
$$x = 68^\circ$$

Answer:

68°