Chapter 3, Problem 2CR

To determine

Fill in the blank with the appropriate word for angles $\angle 5$ and $\angle 1$ .

Answer to Problem 2CR

The angles $\angle 5$ and $\angle 1$ are corresponding angles.

Explanation of Solution

Given:

The angles are shown below:

Calculation:

If the transverse line intersects the two parallel lines as shown below:

Here, lines l and m are parallel to each other.

Then angle $\angle 1$ and $\angle 2$ are corresponding angles and both are equal.

Here, the given angles are shown below:

Here, lines r and s are parallel to each other.

Hence, angles $\angle 5$ and $\angle 1$ are corresponding angles and equal to each other.

Thus, angles $\angle 5$ and $\angle 1$ are corresponding angles.