Exercise 14 Page 377

When a line intersects two or more lines, it is called a transversal and it forms eight angles. Let's recall the names of the different angles that are formed.

Name	Definition
Interior Angles	Angles that lie inside the lines.
Exterior Angles	Angles that lie outside the lines.
Alternate Interior Angles	Interior angles that lie on opposite sides of the transversal. When the lines are parallel, their measures are equal.
Alternate Exterior Angles	Exterior angles that lie on opposite sides of the transversal. When the lines are parallel, their measures are equal.
Corresponding Angles	Angles that are in the same position on the two lines in relation to the transversal. When the lines are parallel, their measures are equal.

We are given a diagram that shows two lines being cut by a transversal. We are asked to identify $∠ 1$ and $∠ 3$ as alternate interior, alternate exterior, or corresponding.

We can see that $∠ 1$ and $∠ 3$ are angles that are in the same position on the lines in relation to the transversal. Therefore, they are corresponding angles.