In the figure below, AB is a diameter of circle P What is the arc measure of minor arc
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Answer:
The measure of minor arc AD in degrees is = 42 degrees.
Step-by-step explanation:
The line AB is the diameter of the circle. This also implies that the line dive=ides the circle into two equal halves.
The angle subtended by the diameter of a circle is 180degrees.
This means that angle APD + DPG + CPB = 180 degrees
Already, we can infer that angle DPC = 90 degrees because of the rectangular symbol drawn around point P
Hence we can have
(7x + 1) + 90 +(9x - 7) = 180
16x = 96
the value of x is = 96/16 = 6
we can now plug the value of x into tha expression for the value of angle APD = (7(6) +1) = 42 degrees
Hence APD = 42 degrees.
The measure of minor arc AD in degrees is = 42 degrees.