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°
The relationship between supplementary angles states that when two angles are supplementary, the sum of their measures must be 180°.
Since the angle at the top left is labeled x° and the angle at the top right is labeled y°, we can write the equation:
x° + y° = 180°
Substituting x° = 125°, we have:
125° + y° = 180°
To solve for y°, we can subtract 125° from both sides of the equation:
y° = 180° - 125°
y° = 55°
So, y° = 55°.