Question

Angle A is circumscribed about circle O.
What is the measure of

Answer 1

`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\\ \\`