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lora16 [44]
2 years ago
13

AC is tangent to circle O at A. The Diagram is not to scale.

Mathematics
2 answers:
statuscvo [17]2 years ago
7 0

Answer:

  • B. 64°

Step-by-step explanation:

<u>Given:</u>

  • mBY = 52°

<u>Inscribed angle measure is half the intercepted arc:</u>

  • m∠BAY = 1/2(52°) = 26°

<u>The angle between the diameter and tangent is right angle:</u>

  • m∠BAC = 90°

<u>According to angle addition postulate:</u>

  • m∠YAC = m∠BAC - m∠BAY
  • m∠YAC = 90° - 26° = 64°

Correct choice is B

lapo4ka [179]2 years ago
4 0

Answer:

m∠BAY = 1/2(52°) = 26°

m∠BAC = 90°

m∠YAC = m∠BAC - m∠BAY

m∠YAC = 90° - 26° = 64°

<u>OAmalOHopeO</u>

<u></u>

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