Question

which angles are vertical to ∠12? select all that apply.

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and have equal measures.

Step2: Identify intersecting lines

The lines that intersect to form ∠12 also form other angles at the intersection point.

Step3: Determine vertical angles

∠12 and ∠10 are vertical angles as they are opposite each other at the intersection of the two lines. Also, ∠12 and ∠11 are vertical angles. Additionally, considering the other intersection formed by the lines related to the angles in the figure, ∠12 and ∠5, ∠12 and ∠6 are vertical - like pairs (due to the nature of the intersecting - line structure in the figure).

Answer:

∠5, ∠6, ∠11, ∠10