Question

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

BAC =
19.5
29
58

BOC =
19.5
29
58

Answer 1

`\measuredangle BAC = 29°`

Answer:

`\measuredangle BOC =58°`

Explanation:

`\measuredangle BDC = 29°...(Given) \\</p><p>\because \measuredangle BAC = \measuredangle BDC\\(\angle 's \: subtended \: by\: same\: arc) \\</p><p>\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* \measuredangle BDC\\</p><p>\therefore \measuredangle BOC =2* 29°\\</p><p>\huge \red {\boxed {\therefore \measuredangle BOC =58°}} \\`