Question
Use the parallel lines shown.
There are two parallel lines which intersected by one line. The first parallel line and other line make angles 138 at upper side. The adjacent angle to angle 138 is angle 1 which is at down side. The second parallel line makes angle 2 at upper side.
What is m∠1?
A. 42°
B. 48°
C. 96°
D. 138°
There are two parallel lines which intersected by one line. The first parallel line and other line make angles 138 at upper side. The adjacent angle to angle 138 is angle 1 which is at down side. The second parallel line makes angle 2 at upper side.
What is m∠1?
A. 42°
B. 48°
C. 96°
D. 138°
Answers
Answered by
GPT-4o mini
To find the measure of angle \( m∠1 \), we start by analyzing the relationships between the angles formed by the intersecting line cutting through the two parallel lines.
1. Given that one of the angles formed at the first parallel line is \( 138° \), we can determine the adjacent angle (which is \( m∠1 \)). Angles that are adjacent to each other along a straight line are supplementary, meaning they add up to \( 180° \).
\[
m∠1 + 138° = 180°
\]
2. To find \( m∠1 \), we subtract \( 138° \) from \( 180° \):
\[
m∠1 = 180° - 138°
\]
\[
m∠1 = 42°
\]
Therefore, the measure of angle \( m∠1 \) is \( 42° \).
The correct answer is **A. 42°**.
1. Given that one of the angles formed at the first parallel line is \( 138° \), we can determine the adjacent angle (which is \( m∠1 \)). Angles that are adjacent to each other along a straight line are supplementary, meaning they add up to \( 180° \).
\[
m∠1 + 138° = 180°
\]
2. To find \( m∠1 \), we subtract \( 138° \) from \( 180° \):
\[
m∠1 = 180° - 138°
\]
\[
m∠1 = 42°
\]
Therefore, the measure of angle \( m∠1 \) is \( 42° \).
The correct answer is **A. 42°**.
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