Question

problems 2 - 3 select two angles that form a pair of vertical angles in the diagram. ∠adb ∠bdc ∠cde ∠fde ∠fda ∠bdf explain how you know they are vertical angles.

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

Lines $AC$ and $BE$ intersect at point $D$. $\angle ADB$ and $\angle BDC$ are formed by these intersecting lines and are opposite each other.

Answer:

$\angle ADB$ and $\angle BDC$ are vertical angles because they are formed by the intersection of two lines ($AC$ and $BE$) and are opposite each other at the vertex $D$.