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What is the measure of minor arc AC, given that AB and BC are tangent to
oo?

What is the measure of minor arc AC, given that AB and BC are tangent to oo?-example-1
User Arcticfox
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2 Answers

3 votes

Answer:D)200

Step-by-step explanation:i got it right

User Pepor
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7 votes

Answer:

200°

Explanation:

In ΔABO ∠ABO=20°/2=10°

∠BAO=90°

sum of the angles of the ΔABO=180°

90°+10°+x=180°

x=180°-100°=80°

Therefore ∠AOB=80°

By similarity we have ∠COB=∠AOB=80°

Let the arc AC be x

now we know that the whole angle is 360°

x+80°+80°=360°

x=200°

User Jcwrequests
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