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
125°
125 degrees
305°
305 degrees
55°
55 degrees
35°
35 degrees
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1 answer
In the given illustration, the angles formed by the intersection of two lines exhibit relationships based on supplementary angles. Since angles x and y are on a straight line (along the horizontal line), they must be supplementary.
This means that:
x + y = 180°
Given that x = 125°, we can substitute this value into the equation:
125° + y = 180°
To find y, we subtract 125° from 180°:
y = 180° - 125°
y = 55°
Therefore, the value of y° is 55 degrees.
