Question

Can someone help me with this????? The question is attached in the image

Answer 1

See explanation

Explanation:

Since
`\overline{CB}` is parallel to
`\overline {ED},` then

• angles EDF and CBF are congruent as alternate interior angles when parallel lines
  `\overline{CB}` is parallel to
  `\overline {ED}` intersect by transversal DB;

• angles DEF and BCF are congruent as alternate interior angles when parallel lines
  `\overline{CB}` is parallel to
  `\overline {ED}` intersect by transversal CE.

Consider triangles CBF and EDF. In these triangles:

• 
  `\angle EDF\cong \angle CBF` (proven);
• 
  `\angle FED\cong \angle FCB` (proven);
• 
  `\overline{CB}\cong \overline {ED}` (given).

Thus, triangles CBF and EDF are congruent by ASA postulate.