Question

in the figure, qs bisects ∠pqt. complete the steps to prove ∠2≅∠4. enter your answers in the boxes. statements reasons 1. qs bisects ∠pqt 1. given 2. ∠1≅∠□ 2. definition of angle bisector 3. ∠2≅∠□ 3. symmetric property 4. ∠1≅∠4 4. vertical angles theorem 5. ∠□≅∠4 5. transitive property

Explanation:

Step1: By angle - bisector def.

$\angle1\cong\angle2$

Step2: By symmetric property

$\angle2\cong\angle1$

Step3: Use transitive property

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

Answer:

1. 2; 3. 1; 5. 2