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  1. ABC is an isosceles triangle such that AB = AC and AD is the median to the base BC with ∠ABC = 35°. Then ∠BAD is
    1. 35°
    2. 55°
    3. 70°
    4. 110°
Correct Option: B

On the basis of given in question , we draw a figure of an isosceles triangle ABC ,

Given , AB = AC and BD = DC
∴ ∠ADB = ∠ADC = 90°
∠ABC = 35°
In ∆ ABD,
∠BAD + ∠ABD = 90°
∴ ∠BAD = 90° – 35° = 55°



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