Question

Given line AC is tangent to circle O.
If m(arc BY)= 44, enter the m∠YAC.
(The figure is not drawn to scale.)

Answer 1

The measure of <YAC from the figure is. 68 degrees

Circle theorem

The given figure is made up of line and angles.

Since the line AC is tangential to the circle, hence <BAC = 90 degrees and;

<BAY + <YAC = 90degrees

Determine the measure of <BAY

<BAY = 1/2(arcBY)

<BAY = 1/2(44)

<BAY = 22degrees

From the expression above;

<YAC = 90 - 22

<YAC = 68 degrees

Hence the measure of <YAC from the figure is. 68 degrees

Learn more on circle theorem here; https://brainly.com/question/26594685

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