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In the figure below, AB is a diameter of circle P What is the arc measure of minor arc

In The Figure Below AB Is A Diameter Of Circle P What Is The Arc Measure Of Minor Arc class=

Sagot :

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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.

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