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

the arc measure of CAD in degrees is 296

Step-by-step explanation:

Angle EPA is 90 degrees. Since angle EPA and angle EPD are on a straight line, then

Angle EPD = 18 - 90 = 90 degrees

Angle EPD = 33k - 9

33k - 9 = 90

33k = 90 + 9 = 99

k = 99/33

k = 3

Angle CPD = 20k + 4 = (20 × 3) + 4

Angle CPD = 60 + 4 = 64 degrees

Since the sum of the angles at a point is 360 degrees, it means that

90 + 90 + angle BPC + 64 + 90 = 360

Angle BPC = 360 - 334

Angle BPC = 26 degrees

Therefore, the arc measure of CAD in degrees is

26 + 90 + 90 + 90 = 296 degrees

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