Respuesta :

Definition of supplementary angles. Hope this helps. Can you mark me as brainliest if you can? I really appreciate it!

Answer:

By definition of supplementary angles

Step-by-step explanation:

We have to prove that

[tex]\angle 1=\angle 3[/tex]

We have to find missing justification in the given proof.

Proof:

Segment CD intersect segment AB

Reason: Given

[tex]\angle 1+\angle 2=180^{\circ}[/tex]

[tex]\angle 2+\angle 3=180^{\circ}[/tex]

Reason: By definition of supplementary angles

[tex]\angle 1+\angle 2=\angle 2+\angle 3[/tex]

Reason: Transitive property

[tex]\angle 1=\angle 3[/tex]

Reason: subtraction property of equality