Question

example 4
proof write a two - column proof.

1. given: \\( \angle 5 \cong \angle 7 \\)

prove: \\( \angle 5 \cong \angle 8 \\)

Explanation:

Step1: Vertical angles

$\angle 7\cong\angle 8$ (Vertical angles are congruent)

Step2: Transitive property

Since $\angle 5\cong\angle 7$ (Given) and $\angle 7\cong\angle 8$, by the transitive property of congruence, $\angle 5\cong\angle 8$

Answer:

Statements	Reasons
2. $\angle 7\cong\angle 8$	Vertical angles are congruent
3. $\angle 5\cong\angle 8$	Transitive property of congruence