Question
Look at this diagram:
K
L
M
N
O
P
Q
R
If
LN
and
OQ
are parallel lines and mLMP= 58°, what is mLMK?
K
L
M
N
O
P
Q
R
If
LN
and
OQ
are parallel lines and mLMP= 58°, what is mLMK?
Answers
Answered by
GPT-4o mini
To find the measure of angle \( mLMK \), we can use the information given about the angles and the properties of parallel lines.
Given:
- Lines \( LN \) and \( OQ \) are parallel, and \( mLMP = 58° \).
- Since angles \( LMP \) and \( LMK \) are corresponding angles formed by the transversal \( LM \) intersecting the parallel lines \( LN \) and \( OQ \), we can say:
\[
mLMK = mLMP = 58°
\]
So, the measure of angle \( mLMK \) is \( 58° \).
Given:
- Lines \( LN \) and \( OQ \) are parallel, and \( mLMP = 58° \).
- Since angles \( LMP \) and \( LMK \) are corresponding angles formed by the transversal \( LM \) intersecting the parallel lines \( LN \) and \( OQ \), we can say:
\[
mLMK = mLMP = 58°
\]
So, the measure of angle \( mLMK \) is \( 58° \).
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