Question

use the diagram to complete the statements.
angles 1 and 5 are ▼ because they
▼ angles.
angles 4 and 6 are ▼ because they
▼ angles.

Explanation:

for Angles 1 and 5:

Step1: Recall angle relationships

Corresponding angles are in the same relative position at each intersection where a transversal crosses two lines. Angles 1 and 5 are in the same position (top - left) relative to the transversal and the two lines, so they are corresponding angles.

Step2: Identify the type

Since they match the definition of corresponding angles, we classify them as such.

for Angles 4 and 6:

Step1: Recall angle relationships

Alternate interior angles are non - adjacent angles that lie between the two lines and on opposite sides of the transversal. Angles 4 and 6 lie between the two lines (the ones intersected by the transversal) and on opposite sides of the transversal.

Step2: Identify the type

So they are alternate interior angles.

Answer:

Angles 1 and 5 are \(\boldsymbol{\text{corresponding}}\) because they are \(\boldsymbol{\text{corresponding}}\) angles.

Angles 4 and 6 are \(\boldsymbol{\text{alternate interior}}\) because they are \(\boldsymbol{\text{alternate interior}}\) angles.