Question

Draw two lines and a transversal intersecting both the lines. Then number the angles and identify both pairs of alternate interior angles.

Short answer

The figure is,

The two pairs of alternate interior angles is $\angle 4\text{and}\angle \text{5}$, and $\angle 3\text{and}\angle 6$.

Step-by-step solution

Step 1. Given Information.

Two lines are given and a transversal intersecting the lines is given.

Step 2. Explanation.

Draw two lines $m$and,$n$and let $l$ be the transversal intersecting the lines $m$and$n$.

Let 1, 2, 3, 4, 5, 6, 7, 8 be the number of angles formed after intersection of line $l$.

Step 3. Figure.

Step 4. Identify 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.

So, the two pairs of alternate interior angles is,

$\angle 4\text{and}\angle \text{5}$, $\angle 3\text{and}\angle 6$

Step 5. Conclusion.

The two pairs of alternate interior angles is $\angle 4\text{and}\angle \text{5}$, and $\angle 3\text{and}\angle 6$.