Use the image to answer the question.

Question

An illustration shows a horizontal line with arrows at both ends. Another line with arrows at both ends extends from top right to bottom left and intersects the horizontal line in the center. The intersecting line creates 4 angles. The angle at the top left is labeled x degrees. The angle at top right is labeled y degrees. The angles at bottom left and right below the horizontal line are not labeled.

Use the relationship between supplementary angles to determine the value of y°
if x°=125°
.

(1 point)
Responses

35°
35 degrees

55°
55 degrees

125°
125 degrees

305°

Answer 1

Since the two angles \( x \) and \( y \) are on a straight line, they are supplementary angles. This means that they add up to \( 180^\circ \).

Given that \( x = 125^\circ \), we can find \( y \) using the following equation:

\[ x + y = 180^\circ \]

Substituting the value of \( x \):

\[ 125^\circ + y = 180^\circ \]

To find \( y \), subtract \( 125^\circ \) from both sides:

\[ y = 180^\circ - 125^\circ \]

\[ y = 55^\circ \]

Therefore, the value of \( y \) is \( 55^\circ \).

The correct response is:

55°