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In ΔABC it is given that (AB)/(AC) = (BD)/(DC). If ∠B = 70° and ∠C = 50° then ∠BAD = ?

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Question

In ΔABC it is given that `(AB)/(AC) = (BD)/(DC)`. If ∠B = 70° and ∠C = 50° then ∠BAD = ?

Options

  • 30°

  • 40°

  • 45°

  • 50°

MCQ
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Solution

30°

Explanation:

∠A = 180° – (70° + 50°) = 60°.

Since `(BD)/(DC) = (AB)/(AC)`, it means AD is the bisector of ∠A.

∴ `∠BAD = (1/2 xx 60^circ) = 30^circ`. 

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Chapter 7: Triangles - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 453]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 7 Triangles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 22. | Page 453
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