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°.

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

Here, according to the given figure, lines a and c are parallel lines and pipe cleaner is a transversal that is passing through these parallel lines.

Therefore, by the property of parallel lines, the corresponding and alternative exterior or interior angles made by the common transversal ( pipe cleaner) on lines a and c must be equal, and here ∠3 and 130° are alternative interior angles by lines a and c with the same transversal, So, they must be equal.

The complete question is given below:-

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. The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3?

A. They are same-side interior angles, so angle 3 measures 50°.

B. They are alternate interior angles, so angle 3 also measures 130°.

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

D. They are alternate exterior angles, so angle 3 measures 50°.

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