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In ΔABC, D is a point on BC. If $$\frac{{{\text{AB}}}}{{{\text{AC}}}} = \frac{{{\text{BD}}}}{{{\text{DC}}}},$$ ∠B = 75° and ∠C = 45°, then ∠BAD is equal to :
Answer & Solution
Correct Answer:
Option
B
Since $$\frac{{{\text{AB}}}}{{{\text{AC}}}} = \frac{{{\text{BD}}}}{{{\text{DC}}}}$$
Hence AD is an angle Bisector
Hence ∠BAD $$ = \frac{{{{180}^ \circ } - \left( {{{75}^ \circ } + {{45}^ \circ }} \right)}}{2} = \frac{{{{60}^ \circ }}}{2} = {30^ \circ }$$
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