Answer:
C ≅ D ≅ E
Step-by-step explanation:
You want to know if inscribed angles C, D, and E intercepting arc FG are congruent.
Short answer
Inscribed angles intercepting the same arc are congruent. Angles C, D, E all intercept arc FG, so they are all congruent.
Unnecessarily long answer
The measure of an inscribed angle is half the measure of the arc it intercepts:
C = (FG)/2
D = (FG)/2
E = (FG)/2
By the substitution property of equality,
C = D = E
Angles with the same measure are congruent, so ∠C ≅ ∠D ≅ ∠E.
