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° .
To solve this problem, we need to apply the relationship between supplementary angles.
Supplementary angles are two angles that add up to 180 degrees. In this case, the angle at the top left (labeled x degrees) and the angle at the top right (labeled y degrees) are supplementary angles. So we have the equation:
x + y = 180
We are given that x° = 125°, so we can substitute this value into the equation:
125 + y = 180
Now 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°.