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 m Arc BC is 105°, what is m Arc CD

Answer 1

43°

Explanation:

Got it right on the test

Answer 2

`m\ arc\ CD=43\°`

Explanation:

we know that

`m<BAD=m\ arc\ BC+m\ arc\ CD` -----> by central angle

see the attached figure to better understand the problem

we have

`m\ arc\ BC=105\°`

`m<BAD=148\°`

substitute

`148\°=105\°+m\ arc\ CD`

`m\ arc\ CD=148\°-105\°=43\°`