Question

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?

Answer 1

Answer:

According to the given statement of the question, lines a and c are parallel lines to each other.

The pipe cleaner is a transversal and is passing through these lines.

Therefore, the property of parallel lines says that "the corresponding and alternative exterior or interior angles must be equal to each other. Thus the angles made by the common transversal on the lines a and c are also equal to each other.

So here ∠3 and 130° are alternative interior angles made by lines a and c with the transversal therefore,they must be equal.

We can say that:

∠3 = 130°

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