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°.

Solution:

Parallel lines have the property which states that alternate interior angles are equal when two parallel lines are cut by a transversal.

From the given figure,

a,b,c are parallel lines cut by a transversal.

In the given figure a is parallel to c, 

∠10 is given as 130°

By alternate interior angle property,

∠4 = ∠9

∠3 = ∠10 

Thus, ∠3 = 130°

Therefore, angle 3 measures 130° since they are alternate interior angles.

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

Summary:

The measure of one angle is 130°. The statement that is true regarding the 130° angle and angle 3 is they are alternate interior angles, so angle 3 measures 130°.