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

Question

m∠1=125°
and m∠4=(x+35)°


What equation will solve for x
?

(1 point)
x°+

°
=
°

Answer 1

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: \[ x + 35 = 125 \]