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
125°
125 degrees
55°
55 degrees
35°
35 degrees
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The relationship between supplementary angles states that the sum of two angles that form a straight line (180 degrees) is equal to 180 degrees.
In this case, the angles x° and y° form a straight line. Therefore, we can set up the equation:
x° + y° = 180°
Given that x° = 125°, we can substitute this value into the equation:
125° + y° = 180°
Next, we can solve for y° by subtracting 125° from both sides of the equation:
y° = 180° - 125°
y° = 55°
Therefore, the value of y° is 55°.