<1 ≅ <8
A Alternate Exterior Angles
B Same-side interior angles
C Corresponding Angles
D Alternate interior angles
C Corresponding Angles
The correct answer is C - Corresponding Angles.
Corresponding angles are a pair of angles that are in the same position in relation to the parallel lines and a transversal line. In this case, angle 1 is congruent to angle 8 because they occupy the same position and have the same measure.
To determine the relationship between angles <1 and <8, we need to understand the concept of angles formed by a transversal crossing two parallel lines.
When a transversal intersects two parallel lines, it creates various pairs of angles. In this case, angles <1 and <8 are formed by a transversal crossing two parallel lines.
Let's break down the options:
A) Alternate Exterior Angles: These are angles that lie on opposite sides of the transversal and are located outside the parallel lines. In this case, angle <1 and angle <8 are not located on opposite sides of the transversal, so they are not alternate exterior angles.
B) Same-side Interior Angles: These are angles that lie on the same side of the transversal and are located between the parallel lines. Angle <1 and angle <8 are not located on the same side of the transversal, so they are not same-side interior angles.
C) Corresponding Angles: These are angles that lie on the same side of the transversal and are located in the same relative position at each intersection with the parallel lines. Angle <1 and angle <8 are located on the same side of the transversal, and they share the same relative position at each intersection with the parallel lines. Therefore, angle <1 and angle <8 are corresponding angles.
D) Alternate Interior Angles: These are angles that lie on opposite sides of the transversal and are located inside the parallel lines. Angle <1 and angle <8 are not located on opposite sides of the transversal, so they are not alternate interior angles.
Therefore, the correct answer is C) Corresponding Angles.