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
55°
55 degrees
125°
125 degrees
305°
305 degrees
35°
35 degrees
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To answer this question, we need to know the relationship between supplementary angles. Supplementary angles are pairs of angles that add up to 180 degrees.
In the given image, since the intersecting lines create four angles, we can determine that the angle at the top right and the angle at the bottom left are supplementary angles. Similarly, the angle at the top left and the angle at the bottom right are also supplementary angles.
Given that x° is equal to 125°, and knowing that the angle at the top left and the angle at the top right are supplementary, we can calculate the value of y° by subtracting 125° from 180°.
Therefore, the value of y° would be 180° - 125° = 55°.
The correct answer is: 55°.