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.
What is the value of x if y°=71° ?
°
In the illustration, the intersecting line creates a pair of vertical angles. This means that the angle at the top left (labeled x) is congruent to the angle at the bottom right (not labeled).
Since the angle at the top right is labeled y° and we are given that y° = 71°, we know that the angle at the bottom right is also 71°.
Therefore, the value of x° is also 71°.