Question

n 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 96°, what is mArc CD?

Answer 1

Arcs are measured by their corresponding central angles. Since angle BAD is a central angle, the measure of the arc BD is 148.

So the measures of arcs BC + CD = BD

Substitute BC = 96 and BD = 148 Solve for CD