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AC is tangent to circle O at A. The Diagram is not to scale.
If mBY = 52 what is YAC?
I know the answer is B) 64, But Can someone show me the work?

AC is tangent to circle O at A The Diagram is not to scale If mBY 52 what is YAC I know the answer is B 64 But Can someone show me the work class=

Respuesta :

mhanifa

Answer:

  • B. 64°

Step-by-step explanation:

Given:

  • mBY = 52°

Inscribed angle measure is half the intercepted arc:

  • m∠BAY = 1/2(52°) = 26°

The angle between the diameter and tangent is right angle:

  • m∠BAC = 90°

According to angle addition postulate:

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

Correct choice is B

Answer:

m∠BAY = 1/2(52°) = 26°

m∠BAC = 90°

m∠YAC = m∠BAC - m∠BAY

m∠YAC = 90° - 26° = 64°

OAmalOHopeO

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