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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

125°
125 degrees

35°
35 degrees

55°
55 degrees

305°
305 degrees
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Answer 1

To determine the value of \( y \) in the given scenario, we need to use the relationship between supplementary angles. Supplementary angles are two angles whose sum is \( 180^\circ \).

Given:

• \( x = 125^\circ \)

Since \( x \) is one of the angles formed by the intersection of the two lines, the angle \( y \) which is adjacent to \( x \) is its supplementary angle. Thus, we can set up the equation:

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

Substituting the value of \( x \):

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

To find \( y \), we solve for \( y \):

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

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

The correct response is:

55°