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Sergeline · Answer 1 · 2022-03-24T19:09:02+0000

Answer:

$m\angle O = 134 \degree$

Explanation:

AC and AB are tangents to the circle with center O on points C and B respectively from point A.

Therefore

$m\angle ACO=m\angle ABO=90\degree$

$m\angle CAB=46...(given) \degree$

$m\angle O = 360 \degree - (2 * 90 \degree + 46 \degree) \\ \\ m\angle O = 360 \degree - (180 \degree + 46 \degree) \\ \\ m\angle O = 360 \degree - (226 \degree) \\ \\ m\angle O = 134 \degree\\ \\$

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