In geometry, vertical angles are pairs of angles that are opposite each other when two lines intersect. When two lines cross, they form two pairs of vertical angles. Each pair consists of angles that are non-adjacent and are formed by the intersecting lines.
For example, if two lines intersect and form four angles labeled \(A\), \(B\), \(C\), and \(D\), with \(A\) and \(C\) being one pair of vertical angles, and \(B\) and \(D\) being the other pair, then the following relationships hold:
- Angle \(A\) is equal to angle \(C\) (\(A = C\))
- Angle \(B\) is equal to angle \(D\) (\(B = D\))
Vertical angles are always congruent, which means they have the same measure. This property is often useful in various geometry problems and proofs.
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