In the figure below, AD and CE are diameters of circle P.
What is the arc measure of AB in degrees?

The arc measure of AB in degrees for the given figure in which AD and CE are diameters of circle P is 55 degrees.
The central angle is the angle which is subtended by the arc of the circle at the center point of that circle.
In the figure below, AD and CE are diameters of circle P. Thus, the sum of the angle APD and angle APE should be equal to 180 degrees.
[tex]\angle CPD +\angle APE=180[/tex]
In this circle, the measure of arc CD is equal to the measure of arc AC. Thus,
[tex]AC=DE\\AC+AB=DE\\AC+38^o=93^0\\AC=93^o-38^o\\AC=55^o[/tex]
Thus, the arc measure of AB in degrees for the given figure in which AD and CE are diameters of circle P is 55 degrees.
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