Answer:
[tex] m\angle O = 134 \degree[/tex]
Step-by-step explanation:
AC and AB are tangents to the circle with center O on points C and B respectively from point A.
Therefore
[tex] m\angle ACO=m\angle ABO=90\degree [/tex]
[tex] m\angle CAB=46...(given) \degree [/tex]
[tex]m\angle O = 360 \degree - (2 \times 90 \degree + 46 \degree) \\ \\ m\angle O = 360 \degree - (180 \degree + 46 \degree) \\ \\ m\angle O = 360 \degree - (226 \degree) \\ \\ m\angle O = 134 \degree\\ \\ [/tex]
