The arc measure BDC that subtend the angle at the center P of the circle is 213 degrees
How to find an angle of an arc in a circle?
The arc measure of angle BDC is as follows;
AC and BD are the diameter of the circle.
∠BPD ≅ ∠APD
Therefore,
4k + 159 = 2k + 153
4k - 2k = 153 - 159
2k = -6
k = -6 / 2
k = -3
4(-3) + 159 = 147°
∠BPD ≅ ∠APD = 147°
Hence,
∠BPA ≅ ∠CPD = 33°
arc BDC = 33 + 147 + 33 = 213 degrees
learn more on circle here: https://brainly.com/question/16617391
#SPJ2
