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ABC is an isosceles triangle such that AB = AC and AD is the median to the base BC with ∠ABC = 35°. Then ∠BAD is

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Question

ABC is an isosceles triangle such that AB = AC and AD is the median to the base BC with ∠ABC = 35°. Then ∠BAD is

Options

  • 35°

  • 55°

  • 70°

  • 110°

MCQ
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Solution

55°

Explanation:


BD = DC

AB = AC

∴ ∠ADB = ∠ADC = 90°

∠ABC = 35°

In ΔABD,

∠BAD + ∠ABD = 90°

∴ ∠BAD = 90° – 35° = 55°

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Geometry (Entrance Exam)
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