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
125°
125 degrees
305°
305 degrees
55°
55 degrees
35°
The angles formed by the intersecting lines are vertical angles, which are congruent. This means that the angle at the bottom left is also x degrees. Since the angle at the bottom left and the angle at the top right form a straight line, they are supplementary angles. Therefore, the measure of y° is equal to 180° minus x°.
Given that x°=125°, we can calculate y° by subtracting 125° from 180°:
y° = 180° - 125° = 55°
So the value of y° is 55 degrees.