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° ?
To find the value of x, we can use the property that the sum of the angles on a straight line is 180°.
In this case, the horizontal line and the intersecting line form a straight line. Therefore, the sum of the top left angle (x) and the top right angle (y) is equal to 180°.
Given that y° = 71°, we can substitute this value into the equation:
x + 71° = 180°
To isolate x, we can subtract 71° from both sides of the equation:
x = 180° - 71°
x = 109°
Therefore, the value of x is 109°.