If m(arc BY)= 44, enter the mZY AC. (The figure is not drawn to scale.)

Boston Kenne asked Dec 18, 2023

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If m(arc BY)= 44, enter the
mZY AC.

(The figure is not drawn to scale.)

Boston Kenne asked Dec 18, 2023

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Answer:
$68^(\circ)$

Explanation:

Assuming AC is a tangent, this means
$m\angle BAC=90^(\circ)$ .

Since arc BY measures 44 degrees, by the inscribed angle theorem,
$m\angle BAY=22^(\circ)$ .

This means
$m\angle YAC=90^(\circ)-22^(\circ)=68^(\circ)$

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