7th Grade · Geometry

Vertical Angles

7.G.B.5

Definition

The pair of non-adjacent angles formed when two lines intersect. Vertical angles are always congruent (equal in measure).

Examples

  • If ∠1 = 65°, then ∠3 (its vertical angle) = 65° too.
  • ∠2 = 180° - 65° = 115° (linear pair with ∠1).

Key rule

Vertical angles are formed across from each other at an intersection and are always equal.

Memory hook

Angles across the X from each other match.