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

I got 46. Is this right?

Answer 2

Yes, because the central angle is equal to the measure of the arc it intersects. So the measure of arc BD is 148, and BC is 102, so you just subtract 102 from 148 to find the measure of CD, which IS 46.

Answer 3

Thanks!

Answer 4

No problem! Glad to help!