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In ABC, it is given that \frac{A B}{A C}=\frac{B D}{D C}. If ∠ B = 70° and ∠ C = 50° then ∠ BAD is

Option: 1

50°


Option: 2

30°


Option: 3

45°


Option: 4

40°


Answers (1)

best_answer

\angle A=180^{\circ}-\left(70^{\circ}+50^{\circ}\right)=60^{\circ}

\text { since } \frac{B D}{D C}=\frac{A B}{A C^{\prime}} \text { it means } A D \text { is the bisector of } \angle A \text { . }

\therefore \quad \angle B A D=\left(\frac{1}{2} \times 60^{\circ}\right)=30^{\circ}

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