Answer:
[tex]let \: the \: central \: angle \: be \: \beta \\ \tan( \beta ) = \frac{ \frac{10}{2} }{12} \\ \tan( \beta ) = \frac{5}{12} \\ \beta = { \tan }^{ - } ( \frac{5}{12} ) \\ \beta = 22.6 \degree \\ central \: angle = 22.6 \degree \\ \\ interior \: angle = 2 \times (central \: angle) \\ = 2 \times 22.6 \\ = 45.2\degree[/tex]
