Question

Geometry Select the correct answer from each drop-down menu. Given that , ° and °.

Answer 1

$\measuredangle BAC = 29°$

Answer:

$\measuredangle BOC =58°$

Step-by-step explanation:

$\measuredangle BDC = 29°...(Given) \\\because \measuredangle BAC = \measuredangle BDC\\(\angle 's \: subtended \: by\: same\: arc) \\\huge \purple {\boxed {\therefore \measuredangle BAC = 29°}}$

Since, angle subtended on the center of the circle is twice the angle subtended on the circumference of the circle.

$\therefore \measuredangle BOC =2\times \measuredangle BDC\\\therefore \measuredangle BOC =2\times 29°\\\huge \red {\boxed {\therefore \measuredangle BOC =58°}}$