Question

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

$\angle 2\text{and}\angle \text{7}$

Short answer

The angles $\angle 2$ and $\angle 7$ arealternate interior angles.

Step-by-step solution

Step 1. Given Information.

The provided angles are $\angle 2$ and $\angle 7$.

Step 2. Definition of alternate interior angles.

When two lines are crossed by another line, it is known as transversal.The angles internal 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 $\angle 2$ and $\angle 7$ are located inside the parallel lines and in opposite corners, $\angle 2$ and $\angle 7$ are alternate interior angles.

Step 4. Conclusion.

The angles $\angle 2$ and $\angle 7$ arealternate interior angles.