Question

Can someone help me with this geometry question the first answer is the same as the second one

Answer 1

Inscribed angles subtended by the same arc are equal.

Central angle is twice any inscribed angle subtended by the same arc.

Angles BDC and BAC are iscribed angles

Angle BOC is a central angle

The three angles are subtended by arc CB.

Measure of angle BDC is equal to measure of angle BAC:

$\measuredangle BDC=\measuredangle BAC=29º$

Measure of angle BOC is twice measure of angle BDC:

$\begin{gathered} \measuredangle BOC=2\measuredangle BDC \\ \measuredangle BOC=2(29º) \\ \measuredangle BOC=58º \end{gathered}$

Then, the measure of angle BCA is 29º and the measure of angle BOC is 58º