High School

. Ray AC is tangent to circle O at A. The diagram is not drawn to scale. If the measure of arc BY is 62, what is the measure of angle YAC?

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31 degrees

38 degrees

59 degrees

62 degrees

Ray AC is tangent to circle O at A The diagram is not drawn to scale If the measure of arc BY is 62 what

Answer :

The value of angle YAC in the intersecting chords AB and AY is determined as 31 degrees.

option A.

What is the value of angle YAC?

The value of angle YAC is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

From the diagram, we will have the following equation;

m∠YAC = ¹/₂ ( arc BY) (interior angle of intersecting secants)

m∠YAC = ¹/₂(62)

m∠YAC = 31 degrees

Learn more about chord angles here: brainly.com/question/23732231

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