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?

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?

anonymous · Answer

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anonymous · Answer

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