Question

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

Answer 1

The calculated arc measure of minor arc AD is 43 degrees

How to determine the arc measure of minor arc AD

From the question, we have the following parameters that can be used in our computation:

The circle

The sum of angles in a semicircle is 180 degrees

So, we have

7x + 1 + 90 + 9x - 7 = 180

This gives

16x + 84 = 180

So, we have

16x = 96

Evaluate

x = 6

Next, we have

AD = 7x + 1

AD = 7 * 6 + 1

AD = 43

Hence, the arc measure of minor arc AD is 43 degrees

Answer 2

The measure of minor arc AD in degrees is = 42 degrees.

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.