Question

question 4
which angle is alternate interior angle to ∠5?
image of two parallel lines cut by a transversal with angles labeled 1,2,3,4,5,6,7,8
options: ∠8, ∠1, ∠6, ∠4

Explanation:

Step1: Recall alternate interior angles definition

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two lines and on opposite sides of the transversal.

Step2: Identify lines and transversal

Here, the two horizontal lines are parallel, and the slant line is the transversal. $\angle 5$ is between the two horizontal lines.

Step3: Find the alternate interior angle

Looking at the positions, $\angle 4$ is also between the two horizontal lines and on the opposite side of the transversal from $\angle 5$. So $\angle 4$ is the alternate interior angle to $\angle 5$.

Answer:

$\angle 4$