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A pair of parallel lines is cut by a transversal, as shown:

A pair of parallel lines is shown cut by a transversal. Angle x is located in the upper right exterior next to the transversal, and angle y is located in the bottom left exterior corner of the transversal.

Which of the following best represents the relationship between angles x and y?

x = 180 degrees − y
y = 180 degrees − x
x = y
x = 2y

A pair of parallel lines is cut by a transversal as shown A pair of parallel lines is shown cut by a transversal Angle x is located in the upper right exterior class=

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The correct answer is option C which is x = y.

What is the alternate interior angle?

The angle formed by the line intersecting two parallel lines is called the alternate interior angle. This two angles are equal in magnitude.

In the given figure we can see that the angle x will be equal to the angle y because of the right opposite angles.

Since two parallel lines are cutting the upper part at x so the same lower part will be also x due to corresponding angles.

Now just right opposite to x there is an angle y so the angles x and y will be equal to each other.

Therefore the correct answer is option C which is x = y.

To know more about alternate interior angles follow

https://brainly.com/question/24839702

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