can you someone please check my answer? it’s important!

Answer:
∠ DEG = 65°
Step-by-step explanation:
The measure of the inscribed angle DEG is one half the measure of its intercepted arc DG
The sum of the arcs on the circle = 360°, thus
DG = 360° - (125 + 105)° = 360° - 230° = 130°
Thus
∠ DEG = 0.5 × 130° = 65°