Respuesta :

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°