Question

Please help me answer this.

Answer 1

See explanation

Explanation:

Statements Reasons

1.
`\overline{AD}\parallel \overline{BC}` Given

2.
`\angle ADB\cong \angle CBD` As alternate interior angles when parallel lines AD and BC intersect by ltransversal BD

3.
`\overline{AD}\cong \overline{BC}` Given

4.
`\overline{BD}\cong \overline{DB}` Reflexive property

5.
`\triangle ADB\cong \triangle CBD` SAS postulate

6.
`\angle ABD\cong \angle CDB` Corresponding parts of congruent triangles are congruent

7.
`\overline{AB}\parallel \overline{CD}` Inverse alternate interior angles theorem