Question

rhombus lmno is shown with its diagonals. angle mno measures 112°. what is the measure of angle lmn? 34° 45° 56° 68°

Explanation:

Step1: Recall rhombus property

Adjacent angles of a rhombus are supplementary.

Step2: Set up the equation

Let $\angle LMN=x$. Since $\angle MNO = 112^{\circ}$ and $\angle LMN$ and $\angle MNO$ are adjacent angles, we have $x + 112^{\circ}=180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}- 112^{\circ}=68^{\circ}$

Answer:

D. $68^{\circ}$