Answer:
∠DEF =56°
Step-by-step explanation:
We are given that arc DEF = 248°
So, arc DCF = 360°-248°
arc DCF = 112°
Now we are required to find the ∠DEF.
So, we will use Inscribed angle theorem.
Inscribed angle theorem: The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
Intercepted arc = arc DCF = 112°
Inscribed angle = ∠DEF
⇒∠DEF =
⇒∠DEF =
⇒∠DEF =56°
Hence the measure of ∠DEF =56°