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.. 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°.

Explanation:

Step1: Identify angle relationship

The 130° angle (angle 12) and angle 3 are same-side interior angles formed by parallel lines cut by a transversal. Same-side interior angles are supplementary, meaning their sum is $180^\circ$.

Step2: Calculate angle 3 measure

$\text{Measure of angle 3} = 180^\circ - 130^\circ$

Answer:

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