Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

11 a. $\\angle 4$ and $\\angle 6$ are what type of angles?

Question

11
a. $\angle 4$ and $\angle 6$ are what type of angles?

Explanation:

Brief Explanations

To determine the type of angles ∠4 and ∠6 are, we use the definition of alternate interior angles. Alternate interior angles are formed when a transversal crosses two parallel lines (or in this case, two lines cut by a transversal), and they lie between the two lines (interior) and on opposite sides of the transversal (alternate).

Looking at the diagram, the horizontal line is the transversal, and lines \( m \) and \( n \) are the two non - horizontal lines. ∠4 and ∠6 are between the two non - horizontal lines (interior) and on opposite sides of the transversal (the horizontal line). So, by the definition of alternate interior angles, ∠4 and ∠6 are alternate interior angles.

Answer:

Alternate Interior Angles