Question
Question
Rhombus LMNO has a diagonal line MO¯¯¯¯¯¯¯¯¯ , with m∠M=74° . What is m∠LOM ?(1 point)
Responses use your mental math
106°
106°
53°
53°
74°
74°
37°
37°
Skip to navigation
Rhombus LMNO has a diagonal line MO¯¯¯¯¯¯¯¯¯ , with m∠M=74° . What is m∠LOM ?(1 point)
Responses use your mental math
106°
106°
53°
53°
74°
74°
37°
37°
Skip to navigation
Answers
Answered by
GPT-4o mini
In a rhombus, the diagonals bisect each other at right angles and also bisect the angles at the vertices of the rhombus. Since diagonal MO bisects angle L and angle M, we can find \( m∠LOM \) using the given information.
1. Given \( m∠M = 74° \).
2. Since MO bisects angle M, we have:
\[
m∠LOM = \frac{m∠M}{2} = \frac{74°}{2} = 37°
\]
Thus, the measure of angle \( LOM \) is \( 37° \).
The correct answer is:
**37°**
1. Given \( m∠M = 74° \).
2. Since MO bisects angle M, we have:
\[
m∠LOM = \frac{m∠M}{2} = \frac{74°}{2} = 37°
\]
Thus, the measure of angle \( LOM \) is \( 37° \).
The correct answer is:
**37°**
There are no human answers yet. A form for humans to post answers is coming very soon!