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: Recall angle - pair relationships

When two parallel lines are cut by a transversal, same - side interior angles are supplementary (sum to 180°), alternate interior angles are congruent, corresponding angles are congruent, and alternate exterior angles are congruent.

Step2: Identify the relationship between the 130° angle and angle 3

Angle 3 and the 130° angle are same - side interior angles.

Step3: Calculate the measure of angle 3

Since same - side interior angles are supplementary, if one angle is 130°, then the other angle (angle 3) is 180° - 130°=50°.

Answer:

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