Question

which angles are vertical to each other? ∠3 and ∠7 ∠12 and ∠7 ∠12 and ∠10 ∠7 and ∠4

Explanation:

Step1: Recall vertical - angles definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• For ∠3 and ∠7: They are not vertical angles as they are not formed by the same two - intersecting lines.
• For ∠12 and ∠7: They are not vertical angles as they are not formed by the same two - intersecting lines.
• For ∠12 and ∠10: These two angles are formed by the intersection of two lines and are opposite each other. So, they are vertical angles.
• For ∠7 and ∠4: They are not vertical angles as they are not formed by the same two - intersecting lines.

Answer:

∠12 and ∠10