Step-by-step explanation:
[tex]m \angle DBE = \frac{1}{2} \{m (arc\: AC) + m (arc\: DE) \} \\ \\ = \frac{1}{2} (130 \degree + 40 \degree) \\ \\ = \frac{1}{2} \times 170 \degree \\ \\ \huge \purple{ \boxed{\therefore m \angle DBE = 85\degree}}[/tex]
Hence, option A 85° is the correct answer.
