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

305°
305 degrees

125°

Answer 1

To find the value of \( y \) given that \( x = 125^\circ \), we can use the fact that angles on a straight line are supplementary, meaning they add up to \( 180^\circ \).

Since \( x \) and \( y \) are on the same straight line:

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

Substituting \( x = 125^\circ \):

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

Now, we isolate \( y \):

\[ y = 180^\circ - 125^\circ \] \[ y = 55^\circ \]

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

So, the response is:

55°