Question

which angles are vertical to each other?
\\(\angle 6\\) and \\(\angle 8\\)
\\(\angle 4\\) and \\(\angle 6\\)
\\(\angle 2\\) and \\(\angle 3\\)
\\(\angle 7\\) and \\(\angle 1\\)

Explanation:

Identify the definition of vertical angles

Using the Vertical Angles knowledge point
Vertical angles are pairs of opposite angles formed by two intersecting lines. They share a common vertex and are non-adjacent.

Analyze the given options

Using the Vertical Angles and Angle Notation knowledge points

• \(\angle 6\) and \(\angle 8\): These angles are opposite each other at the upper intersection, sharing only a vertex. They are vertical angles.
• \(\angle 4\) and \(\angle 6\): These lie at different intersections and are alternate interior angles.
• \(\angle 2\) and \(\angle 3\): These are adjacent angles forming a linear pair.
• \(\angle 7\) and \(\angle 1\): These lie at different intersections.

Answer:

• \(\angle 6\) and \(\angle 8\) (Correct answer)
• \(\angle 4\) and \(\angle 6\)
• \(\angle 2\) and \(\angle 3\)
• \(\angle 7\) and \(\angle 1\)