Question

rhombus lmno is shown with its diagonals. angle mlo measures 112°. what is the measure of angle mlp? 45° 56° 68° 90°

Explanation:

Step1: Recall the property of rhombus diagonals

The diagonals of a rhombus bisect the angles of the rhombus.

Step2: Calculate the measure of ∠MLP

Since diagonal \(MP\) bisects \(\angle MLO\), and \(\angle MLO = 112^{\circ}\), then \(\angle MLP=\frac{1}{2}\angle MLO\).

$$ \angle MLP=\frac{1}{2}\times112^{\circ} = 56^{\circ} $$

Answer:

\(56^{\circ}\) (the second option)