Answer:
Rhombus LMNO is shown with its diagonals.
Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent.
Angle MLO measures 112°. What is the measure of angle MLP?
45°
56° **
68°
90°
Step-by-step explanation:
B
The measure of ∠LMN of the rhombus LMNO is; 68°
In rhombus, the four sides are equal but 2 of the pairs of angles are equal. That means 2 opposite angles.
Since diagonal is drawn from point L to point N, it means that;
∠L = ∠N
Similarly; ∠O = ∠M
We are told that ∠MNO = 112°
This means that;
∠MLO = 112°
Thus;
∠L = ∠N = (360 - (112 + 112))/2 (because sum of angles in a rhombus is 360°)
Thus;
∠L = ∠N = 68°
Thus; ∠LMN = 68°
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