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

Firstly , We draw a figure of an isosceles triangle ABC ,

Given that , AB = AC and ∠B = 35°
⇒ ∠ABC = ∠ACB = 35°
Now, ∠ADB = 90°
In ∆ADB , ∠ BAD + ∠ ABD + ∠ ADB = 180°
⇒ ∠ BAD + 90° + 35° = 180°
∴ ∠BAD = 55°



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