Question

give a reason for each step of the proof. given: ∠2≅∠3 prove: ∠1≅∠4 statements 1. ∠2≅∠3 2. ∠3≅∠4 3. ∠2≅∠4 4. ∠1≅∠2 5. ∠1≅∠4 reasons 1. ? 2. ? 3. ? 4. ? 5. ?

Explanation:

Step1: Given information

Given

Step2: Vertical - angles are congruent

Vertical angles are congruent

Step3: Transitive property of congruence

If $\angle2\cong\angle3$ and $\angle3\cong\angle4$, then $\angle2\cong\angle4$

Step4: Vertical - angles are congruent

Vertical angles are congruent

Step5: Transitive property of congruence

If $\angle1\cong\angle2$ and $\angle2\cong\angle4$, then $\angle1\cong\angle4$

Answer:

1. Given
2. Vertical angles are congruent
3. Transitive property of congruence
4. Vertical angles are congruent
5. Transitive property of congruence