Answer:
m<BAC = 29 degrees
m<BOC = 58 degrees
Explanation:
<BAC, <BDC, and <BOC share the same arc.
<BAC and <BDC are inscribed angles, and will have the same angle measure, 29 degrees.
<BAC and <BDC are inscribed angles, so their measure is 1/2 of the measure of the arc.
The measure of arc BC is 58 degrees.
<BOC is a central angle. The angle measure of a central angle is equal to the measure of the arc.
The measure of <BOC is 58 degrees.