Question

1. transversal lines and vertical angles

a. name a pair of angles that are vertical in the given image.

Explanation:

Vertical angles are formed when two lines intersect, and they are opposite each other, sharing a common vertex but not a common side. In the given star (pentagram) diagram, we look for pairs of angles that are opposite each other at the intersection of two lines. For example, angle 2 and angle 4: when the two lines intersect at the point where angles 2, 3, 4, 5 are formed, angle 2 and angle 4 are opposite each other (vertical angles). Another example could be angle 3 and angle 5, or angle 7 and angle 9, or angle 8 and angle 10. Let's take angle 2 and angle 4 as a pair.

Answer:

Angle 2 and Angle 4 (Other valid pairs include Angle 3 and Angle 5, Angle 7 and Angle 9, Angle 8 and Angle 10)