Question

Question

Use the image to answer the question.

An illustration shows a slanting line intersecting with two lines that appear parallel. The angles that the slanting line forms with the top line are labeled from the top left in a clockwise direction as 1, 2, 4, and 3. The angles that the slanting line forms with the bottom line are labeled from the top left in a clockwise direction as 5, 6, 8, and 7.

m∠1=125°
and m∠4=(x+35)°


What equation will solve for x
?

(1 point)
x°+

°
=
°

Answer 1

To solve for \( x \), we can use the property that angles formed by a transversal with parallel lines have specific relationships. In this case, it appears that angles \( 1 \) and \( 4 \) are corresponding angles.

Given that:

• \( m∠1 = 125° \)
• \( m∠4 = (x + 35)° \)

Since \( 1 \) and \( 4 \) are corresponding angles, they are equal:

\[ m∠1 = m∠4 \]

Thus, you can set up the equation:

\[ 125° = (x + 35)° \]

To isolate \( x \), you can subtract \( 35 \) from both sides of the equation:

\[ 125° - 35° = x \]

This simplifies to:

\[ 90° = x \]

So, the equation that solves for \( x \) is:

\[ 125 + 35 = x \]

Thus, the final answer in the given format would be:

\[ x° + 35° = 125° \]