Answer: 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
