Question

What can you say about the measures of two vertical angles?

Short answer

The measures of two vertical angles are equal.

Step-by-step solution

Step 1. Given Information.

Two vertical angles.

Step 2. Explanation.

Vertical angles are angles that are formed opposite to each other when two lines intersect at a point.

In the above figure, the two lines intersect at a point to form four angles $\angle 1,\angle 2,\angle 3,$ and $\angle 4$. Among the four angles, $\angle 1$ and $\angle 3$ are vertical angles and their measures are equal. Similarly, $\angle 2$ and $\angle 4$are vertical angles and their measures are equal too.

Therefore, it can be said that the measures of two vertical angles are equal.