rhombus lmno is shown with its diagonals. angle mno measures 112°. what is the measure of angle lmn? 34° 45°…
rhombus lmno is shown with its diagonals. angle mno measures 112°. what is the measure of angle lmn? 34° 45° 56° 68°
Answer
Explanation:
Step1: Recall rhombus property
Adjacent - angles of a rhombus are supplementary.
Step2: Set up the equation
Let $\angle LMN=x$ and $\angle MNO = 112^{\circ}$. Then $x + 112^{\circ}=180^{\circ}$.
Step3: Solve for $x$
$x=180^{\circ}-112^{\circ}=68^{\circ}$.
Answer:
$68^{\circ}$