Opposite Angles

Two angles are called a pair of vertically opposite angles, if their arms form two pairs of opposite rays.

Let two lines AB and CD intersect at a point O. Then, two pairs of vertically opposite angles are formed.

(i) ∠AOC and ∠BOD (ii) ∠AOD and ∠BOC

Vertically-opposite-angles

Theorem 1:

If two lines intersect then the vertically opposite angles are equal.

Vertically-opposite-angles
Opposite Angles