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
305°
305 degrees
35°
35 degrees
55°
55 degrees
125°
125 degrees
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page 13 of 13
The relationship between supplementary angles states that if two angles are supplementary, their sum is 180 degrees.
Since the vertical line intersects the horizontal line, the angles it forms are opposite angles and therefore supplementary.
This means that:
y° + x° = 180°
Substituting x° = 125°:
y° + 125° = 180°
To solve for y°, you can subtract 125° from both sides:
y° = 180° - 125°
y° = 55°