Before solving for the unknown measurements, analyze the Circle, its segments, chords, radii, and bisectors
1) Please note that AM, BM, ML, MP are radii of Circle M.
Also, if you drew a line from Center M to C, and Center M to S, MC and MS are also radii. Therefore, these segments have the same measurements.
2). When a radius bisects a chord, the radius divides the chord into two equal parts , and is perpendicular to the chord.
3) The radii/bisectors are:
MD bisects chord CS, therefore CD and DS are congruent.
MK bisects chord AP, therefore AK and KP are congruent.
Please see attached for the solution and proof/explanation.