Answer:
C) 70°
Step-by-step explanation:
whole circle = 360°
inscribed angle theorem says that the measure of inscribed angle = 1/2 measure of intercepted arc
m∠DCB =1/2 m arc DB
46° = 1/2 m arc DB multiply both sides by 2
92° = m arc DB
m arc DC = 360° - 92° -128° = 140°
m ∠DBC = 1/2 m arc DC = 1/2*140° = 70°°
