Question

In circle A shown below, the measure of ∠BAD is 148°:

Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circle A.

If mArc BC is 102°, what is mArc CD?

74°
46°
96°
148°

Answer 1

the degree measure of the arc 
is equal to the degree measure of its central angle,
then move on to the central angles,
mArcBC=∠BAC,   mArcCD = ∠CAD,
∠BAD=∠BAC+∠CAD,
148°=102°+mArcCD,
mArcCD=46°