Given: $\overset{―}{A D}$ bisects $∠ BAC$ .
$∠ 1 ≅ ∠ 3$
Prove: $∠ 2 ≅ ∠ 3$
Statements Reasons
$Unknown environment 'tabular'$

Answer

Expert–verified

Hide Steps

Answer

Final Answer: $∠ 2 ≅ ∠ 3$

Steps

Step 1 ：Given: $\overset{―}{A D}$ bisects $∠ BAC$ , $∠ 1 ≅ ∠ 3$

Step 2 ： $∠ 1 ≅ ∠ 2$ (Definition of angle bisector)

Step 3 ： $∠ 2 ≅ ∠ 3$ (Transitive Property of Congruence)

Step 4 ：Final Answer: $∠ 2 ≅ ∠ 3$