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°.

Answer:

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

Explanation: This is the correct answer on Edge 2021, just took the unit test. Hope this helps ^-^.

They are alternate interior angles, so angle 3 also measures 130°. The correct option is B.

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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