Can someone help me figure out angle a in this circle? thank you!

Answer:
[tex]m \angle a = 116 \degree[/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex]m \angle a = \frac{1}{2} \times m \widehat{(BD)} \\ \\ \implies m \angle a = \frac{1}{2} \times 232 \degree\\ \\ \implies \huge { \orange{m \angle a = 116 \degree}}[/tex]