Question

given: ∠4≅∠6 prove: ∠5≅∠6 statements: 1. ∠4≅∠6 reasons: 1. given 2. 2. 3. 3.

Explanation:

Step1: Identify vertical - angle relationship

$\angle4\cong\angle5$ because vertical angles are congruent.

Step2: Use the transitive property

Since $\angle4\cong\angle6$ (given) and $\angle4\cong\angle5$, by the transitive property of congruence, $\angle5\cong\angle6$.

Answer:

Statements:

1. $\angle4\cong\angle5$
2. $\angle5\cong\angle6$

Reasons:

1. Vertical angles are congruent
2. Transitive property of congruence