Question
there is a image it's a liner pointing from one corner of the screen to einother at an angle so from bottom left to top right the 2 parrell lines going side to side in the middle of th angels ling then there are number on the lines on the very to its 1 and 2 then in the middle between the lines its 34 and lower still in the middle its 5 and 6 then at the bottom on the outside of the parrelll line its a 7 and 8
m∠1=125°
and m∠4=(x+35)°
What equation will solve for x
?
(1 point)
x°+
°
=
°
m∠1=125°
and m∠4=(x+35)°
What equation will solve for x
?
(1 point)
x°+
°
=
°
Answers
GPT-4o mini
To find an equation involving angle \( x \), we need to analyze the relationships between the angles based on the information you provided.
1. **Understanding the setup**:
- You have two parallel lines with a transversal intersecting them at an angle.
- The angle in the bottom left corner is labeled as \( \angle 1 \) with a measure of \( 125^\circ \).
- The angle between the transversal and the top parallel line is labeled as \( \angle 4 \) with a measure of \( (x + 35)^\circ \).
2. **Using angle relationships**:
- Since \( \angle 1 \) and \( \angle 4 \) are corresponding angles (because \( \angle 1 \) is an exterior angle and \( \angle 4 \) is an interior angle on the same side of the transversal), they are equal when the lines are parallel.
- Therefore, we can set up the equation:
\[
m\angle 1 = m\angle 4
\]
With the given values:
\[
125^\circ = (x + 35)^\circ
\]
3. **Solving for \( x \)**:
- To find \( x \), you can subtract \( 35^\circ \) from both sides:
\[
125^\circ - 35^\circ = x
\]
This simplifies to:
\[
x = 90^\circ
\]
So the equation that will solve for \( x \) is:
\[
125^\circ = x + 35^\circ
\]
In the format you provided:
\[
x + 35 = 125
\]
1. **Understanding the setup**:
- You have two parallel lines with a transversal intersecting them at an angle.
- The angle in the bottom left corner is labeled as \( \angle 1 \) with a measure of \( 125^\circ \).
- The angle between the transversal and the top parallel line is labeled as \( \angle 4 \) with a measure of \( (x + 35)^\circ \).
2. **Using angle relationships**:
- Since \( \angle 1 \) and \( \angle 4 \) are corresponding angles (because \( \angle 1 \) is an exterior angle and \( \angle 4 \) is an interior angle on the same side of the transversal), they are equal when the lines are parallel.
- Therefore, we can set up the equation:
\[
m\angle 1 = m\angle 4
\]
With the given values:
\[
125^\circ = (x + 35)^\circ
\]
3. **Solving for \( x \)**:
- To find \( x \), you can subtract \( 35^\circ \) from both sides:
\[
125^\circ - 35^\circ = x
\]
This simplifies to:
\[
x = 90^\circ
\]
So the equation that will solve for \( x \) is:
\[
125^\circ = x + 35^\circ
\]
In the format you provided:
\[
x + 35 = 125
\]