Question

which angles are vertical to each other? select all that apply. ∠2 and ∠4 ∠11 and ∠1 ∠1 and ∠7 ∠2 and ∠6

Explanation:

Vertical angles are formed when two lines intersect, and they are opposite each other, having equal measures.

• For $\angle2$ and $\angle4$: The two lines intersecting form these angles, and they are opposite, so they are vertical angles.
• For $\angle11$ and $\angle1$: These angles are not vertical. Vertical angles should be opposite when lines intersect, and $\angle11$ and $\angle1$ do not meet this criterion.
• For $\angle1$ and $\angle7$: These angles are not vertical. They are not formed by the same intersecting lines in an opposite - angle relationship.
• For $\angle2$ and $\angle6$: These angles are not vertical. They do not satisfy the condition of being opposite angles formed by intersecting lines.

So the correct pair of vertical angles is $\angle2$ and $\angle4$.

Answer:

$\boldsymbol{\angle2}$ and $\boldsymbol{\angle4}$