Question

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

$\angle 1\text{and}\angle 8$

Short answer

The angles $\angle 1$ and $\angle 8$ arealternate exterior angles.

Step-by-step solution

Step 1. Given Information.

The provided angles are $\angle 1$ and $\angle 8$.

Step 2. Definition of alternate exterior angles.

When two lines are crossed by another line, it is known as transversal.The angles external to the two parallel lines, in alternate corners of the transversal are called alternate interior angles.

Step 3. Explanation.

In the given figure, two parallel lines are intersected by a transversal. Since $\angle 1$ and $\angle 8$ are located exterior to the parallel lines and in opposite corners, $\angle 1$ and $\angle 8$ are alternate exterior angles.

Step 4. Conclusion.

The angles $\angle 1$ and $\angle 8$ arealternate exterior angles.