Question

in the following fig. O is the centre of the circle.
Find the value of bcd

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Answer 1

$in \: triangle \: abc \: < bac \: = 45 degree$

$and \: triangle \: ABC \: and \\ \: \\ triangle \: DBC \: are \: in \: same \: segment \\ \\ thus \: angle \: bdc \: will \: also \: be \: 45degree$

${angle \: in \: the \: same \: segment \: are \: equal}$

$thus \: by \: applying \\ \: angle \: sum \: property \: of \: a \: triangle \: = \\ \\ < bcd \: = 180 - (45 + 60) \\ \\ = 180 - 105 \\ \\ = 75 \: degree \: ans....$