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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

35°
35 degrees

55°
55 degrees

125°
125 degrees

305°
305 degrees
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Answer 1

To find the value of \( y \), we can use the property that angles on a straight line (supplementary angles) add up to \( 180^\circ \).

Given:

• \( x = 125^\circ \)

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

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

Substituting the value of \( x \):

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

To find \( y \), subtract \( 125^\circ \) from \( 180^\circ \):

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

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

The correct response is: 55°