Question

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

$\angle 1\text{and}\angle 5$

Short answer

The angles $\angle 1$ and $\angle 5$ arecorresponding angles.

Step-by-step solution

Step 1. Given Information.

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

Step 2. Definition of corresponding angles.

When two lines are crossed by another line, it is known as transversal.

Corresponding angles are angles that are at the same relative position at each intersection.

Step 3. Explanation.

In the given figure, two parallel lines are intersected by a transversal. Since $\angle 1$ and $\angle 5$ are located in matching corners, $\angle 1$ and $\angle 5$ are corresponding angles.

Step 4. Conclusion.

The angles $\angle 1$ and $\angle 5$ arecorresponding angles.