AC−→− is tangent to circle O at A.
A circle is shown with center O and points B, Y, and A. Line BOA is a vertical line that runs through the center of the circle. Line YA is a diagonal line that runs through the right half of the circle. Line AC extends out from the circle.
If measure of modifying above Upper B Upper Y with arc=64 ° , what is the measure of angle Y A C?
(1 point)
Responses
22°22degree
26°26degree
58°58degree
180°180degree
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To find the measure of angle YAC, we need to consider that angle YAC is an inscribed angle that intercepts the same arc as angle BY. This means that the measure of angle YAC is half of the measure of the intercepted arc.
Since the measure of arc BY is 64°, the measure of angle YAC is half of 64° which is 32°.
Therefore, the measure of angle YAC is 32°.
(Option not provided, answer is 32°)