Question

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

Answer 1

Answer:

$m\angle O = 134 \degree$

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

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

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

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