Answer:
Arc EFC has a measure of 234 degrees.
Step-by-step explanation:
The measure of arc EFC = the measure of arc EF + the measure of arc BF + the measure of arc BC.
Arc BFE looks like a semicircle.
A semicircle has a measure of 180 degrees.
Arc BF + arc FE = 180 degrees
Arc BF has a measure of 126 degrees.
126 + arc FE = 180
arc FE = 54 degrees
Arc FE = Arc BC
Their central angles are equal by vertical angle theorem.
EFC = EF+BF+BC
EFC = 54 + 126 + 54
