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°
?

(1 point)

Answer 1

To find the value of \( x \) given that \( y = 71^\circ \), we can use the property of vertical angles.

The angles \( x \) and \( y \) are vertical angles, meaning they are opposite each other and therefore are equal.

Since \( y = 71^\circ \), it follows that:

\[ x = y = 71^\circ \]

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