Rhombus LMNO

Question

has a diagonal line LN¯¯¯¯¯¯¯¯
, and ∠MNL
is 55 degrees. What is m∠MNO
?(1 point)
m∠N=
° and the answer isssssssssss

Answer 1

In a rhombus, the diagonals bisect each other at right angles. This means that if you have a diagonal \( LN \), it divides the rhombus into two congruent triangles: \( \triangle LMN \) and \( \triangle LNO \).

Given that \( \angle MNL = 55^\circ \), we can find \( \angle MNO \) as follows:

1. Since \( LN \) is a diagonal, it bisects the angles at \( M \) and \( O \).
2. Therefore, \( \angle MNL \) and \( \angle MNO \) are equal.

So, \( m\angle MNO = m\angle MNL = 55^\circ \).

Thus, the measure of angle \( MNO \) is:

\[ m\angle MNO = 55^\circ \]