Question

Please answer this question now

Answer 1

Answer:

76 degrees.

Step-by-step explanation:

Let as consider O is the center of the circle . So from the figure it is clear that

$\angle AOB=44^{\circ}$

$\angle COD=118^{\circ}$

By central angle theorem, central angle subtended by an arc is twice of inscribed angle of the same arc.

We know that, $\angle BAD=97^{\circ}$ and angle BOD is the central angle subtended by arc BD.

$\angle BOD=2\times \angle BAD$

$\angle BOD=2\times 97^{\circ}$

$\angle BOD=194^{\circ}$

Now,

$\angle BOD=\angle BOC+\angle COD$

$194^{\circ}=\angle BOC+118^{\circ}$

$194^{\circ}-118^{\circ}=\angle BOC$

$76^{\circ}=\angle BOC$

$m(arc(BC))=76^{\circ}$

Therefore, the measure of arc BC is 76 degrees.