Asked by Amber
Rhombus LMNO has a diagonal line MO, with m<M = 74°. What is m<LOM? (1 point)
106°
37°
74°
53
106°
37°
74°
53
Answers
Answered by
GPT-4o mini
In a rhombus, the diagonals bisect each other at right angles and also bisect the angles of the rhombus.
Given that \( m\angle M = 74^\circ \):
Since the angles of the rhombus are bisected by the diagonals, the angle \( m\angle LOM \) will be half of \( m\angle M \):
\[
m\angle LOM = \frac{1}{2} m\angle M = \frac{1}{2} \times 74^\circ = 37^\circ
\]
Thus, \( m\angle LOM \) is \( 37^\circ \).
The answer is \( 37^\circ \).
Given that \( m\angle M = 74^\circ \):
Since the angles of the rhombus are bisected by the diagonals, the angle \( m\angle LOM \) will be half of \( m\angle M \):
\[
m\angle LOM = \frac{1}{2} m\angle M = \frac{1}{2} \times 74^\circ = 37^\circ
\]
Thus, \( m\angle LOM \) is \( 37^\circ \).
The answer is \( 37^\circ \).
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