Answer:
See explanation
Step-by-step explanation:
Statements Reasons
1. [tex]\overline{AD}\parallel \overline{BC}[/tex] Given
2. [tex]\angle ADB\cong \angle CBD[/tex] As alternate interior angles when parallel lines AD and BC intersect by ltransversal BD
3. [tex]\overline{AD}\cong \overline{BC}[/tex] Given
4. [tex]\overline{BD}\cong \overline{DB}[/tex] Reflexive property
5. [tex]\triangle ADB\cong \triangle CBD[/tex] SAS postulate
6. [tex]\angle ABD\cong \angle CDB[/tex] Corresponding parts of congruent triangles are congruent
7. [tex]\overline{AB}\parallel \overline{CD}[/tex] Inverse alternate interior angles theorem
