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nasty-shy [4]
3 years ago
10

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

Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0

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\\  \\

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