Question

Question

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°
?

(1 point)
°
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Answer 1

To find the value of angle \( x \) given that \( y = 71^\circ \), we can use the properties of vertically opposite angles and supplementary angles.

1. Since the two lines intersect, the angles that are opposite each other are equal. Therefore: \[ x = y \] Thus, we have: \[ x = 71^\circ \]

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