Supplementary Angles Quick Check

Question

5 of 55 of 5 Items

Question
Use the image to answer the 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

305°
305 degrees

55°
55 degrees

125°
125 degrees
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Answer 1

Supplementary angles are two angles that add up to 180 degrees. If you know that \( x° = 125° \), you can find \( y° \) using the relationship:

\[ x° + y° = 180° \]

Substituting \( x° \):

\[ 125° + y° = 180° \]

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

\[ y° = 180° - 125° \] \[ y° = 55° \]

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