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

125°
125 degrees

305°
305 degrees

55°
55 degrees

Answer 1

In this scenario, we have two lines intersecting, creating four angles. Given that angle \( x \) is \( 125^\circ \), it is located in the top left position, while angle \( y \) is located in the top right position.

Angles that are on a straight line are supplementary, meaning they add up to \( 180^\circ \). Since angle \( x \) and angle \( y \) are supplementary (they are adjacent angles on the same line), we can use the following relationship:

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

We know \( x = 125^\circ \). Substituting this into the equation gives:

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

Now, solving for \( y \):

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

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

The correct response is:

55°