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A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. The parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.

Parallel lines a, b, and c are cut by a pipe cleaner transversal. All angles are described clockwise, from uppercase left. Where line a intersects with the pipe cleaner, the angles are: 1, 2, 4, 3. Where line b intersects with the pipe cleaner, the angles are 5, 6, 8, 7. Where line c intersects with the pipe cleaner, the angles are: 9, 130 degrees, 12, 11.
The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3?

They are same-side interior angles, so angle 3 measures 50°.
They are alternate interior angles, so angle 3 also measures 130°.
They are corresponding angles, so angle 3 also measures 130°.
They are alternate exterior angles, so angle 3 measures 50°

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They are corresponding angles, so angle 3 also measures 130°. Option C This is further explained below.

They are corresponding angles, so angle 3 also measures 130°.

Generally, The phrase that is presented to us as the question indicates that lines a and c are lines that are parallel to one another. This pipe cleaner is a transversal and is going through these lines as it cleans the pipes.

As a result, the "corresponding and alternative exterior or interior angles must be equal to each other," which is one of the rules outlined in the property of parallel lines. Therefore, the angles produced by the common transversal on lines a and c are identical to one another.

In conclusion, because 3 and 130° are both possible interior angles that may be produced by lines a and c in conjunction with the transversal, they must both be equal.

We are able to state that: ∠3 = 130°

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