Question

Vertical angles are always

• A. congruent
• B. equal in measure
• C. located opposite to each other
• D. located adjacent to each other

Answer 1

Answer: (A), (B), (C)

located opposite to each other

Firstly let us draw a figure of two intersecting lines.Here, we have two pairs of vertical angles
$\bullet$ $\angle 1$ and $\angle 3$
$\bullet$ $\angle 2$ and $\angle 4$
We can observe from the figure that vertical angles are always located opposite and never adjacent to each other.

$\text{Vertical Angles Theorem}$ states that vertical angles are congruent.

$\text{Note}$: Angles being congruent means they are equal in measure.

Thus, we can conclude that vertical angles are always located opposite to each other and are congruent(equal in measure).

So, options(a.), (b.) and (c.) are correct.