Use the image to answer the question.

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°
?

Answer 1

To solve for the value of \( x \) given that \( y = 71^\circ \), we can use the property that angles formed by intersecting lines create pairs of opposite (vertical) angles that are equal.

1. Since the lines intersect, we have vertical angles:

   • The angle opposite \( y \) (top right) is \( x \) (top left).
   • Therefore, \( x = y \).

2. Given that \( y = 71^\circ \), we can state: \[ x = 71^\circ \]

Thus, the value of \( x \) is \( 71^\circ \).