Question

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°

Answer 1

56°

In a rhombus, diagonals bisect the interior angles. LP is the diagonal from L to N, so it bisects ∠MLO. Thus ∠MLP = 112°/2 = 56°.