Question

2. (09.01 MC) 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 m Arc BC is 96°, what is m Arc CD ? (3 points) 96° 22° 52° 148°

Answer 1

Answer:

Measure of arc CD will be 52°.

Step-by-step explanation:

In the given circle A, measure of central angle intercepted by the arc BCD at the center = 148°

And points B, C and D lie on the given circle.

$m(\widehat {BCD})$ = 148°

$m(\widehat {BCD})=m(\widehat{BC})+m(\widehat {CD})$

148° = 96° + $m(\widehat{CD})$

148 - 96 = $m(\widehat{CD})$

$m(\widehat{CD})$ = 52°

Therefore, measure of arc CD will be 52°.

Option (3) will be the answer.