Question

What is the measure of angle DBF? WILL GIVE BRAINLIEST!

Answer 1

Answer:

Step-by-step explanation:

If AE = EC, then E is the midpoint of AC.

If BF = FC, then F is the midpoint of BC.

That would mean that AB is parallel to EF.

Which would also mean that triangle ECF is similar to triangle ACB.  So if angle EFC is 92, then angle DBF is 92 as well.  

(Because we know that the length of EF is 10 and that EF is parallel to AB, then EF is half the measure of AB so AB = 20.  Not really important here, but important to know.  It's called the Triangle Midsegment Theorem.)